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Finding the Third Proportional to 151,260.75 and 329,191.50

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Solution

The third proportional to 151,260.75 and 329,191.50 is: 716,425.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,260.75 : 329,191.50 = 329,191.50 : x
  2. Step 2: Convert to fraction form
    151,260.75/329,191.50 = 329,191.50/x
  3. Step 3: Cross multiply
    151,260.75x = 329,191.50 × 329,191.50
  4. Step 4: Simplify right side
    151,260.75x = 108,367,043,672.25
  5. Step 5: Solve for x
    x = 108,367,043,672.25/151,260.75
  6. Step 6: Final answer
    x = 716,425.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.