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Finding the Third Proportional to 165,541.50 and 256,275.75

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Solution

The third proportional to 165,541.50 and 256,275.75 is: 396,741.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,541.50 : 256,275.75 = 256,275.75 : x
  2. Step 2: Convert to fraction form
    165,541.50/256,275.75 = 256,275.75/x
  3. Step 3: Cross multiply
    165,541.50x = 256,275.75 × 256,275.75
  4. Step 4: Simplify right side
    165,541.50x = 65,677,260,038.06
  5. Step 5: Solve for x
    x = 65,677,260,038.06/165,541.50
  6. Step 6: Final answer
    x = 396,741.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.