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Finding the Third Proportional to 156,471 and 337,882.50

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Solution

The third proportional to 156,471 and 337,882.50 is: 729,621.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,471 : 337,882.50 = 337,882.50 : x
  2. Step 2: Convert to fraction form
    156,471/337,882.50 = 337,882.50/x
  3. Step 3: Cross multiply
    156,471x = 337,882.50 × 337,882.50
  4. Step 4: Simplify right side
    156,471x = 114,164,583,806.25
  5. Step 5: Solve for x
    x = 114,164,583,806.25/156,471
  6. Step 6: Final answer
    x = 729,621.36

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.