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Finding the Third Proportional to 161,275.50 and 256,214

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Solution

The third proportional to 161,275.50 and 256,214 is: 407,040.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,275.50 : 256,214 = 256,214 : x
  2. Step 2: Convert to fraction form
    161,275.50/256,214 = 256,214/x
  3. Step 3: Cross multiply
    161,275.50x = 256,214 × 256,214
  4. Step 4: Simplify right side
    161,275.50x = 65,645,613,796
  5. Step 5: Solve for x
    x = 65,645,613,796/161,275.50
  6. Step 6: Final answer
    x = 407,040.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.