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Finding the Third Proportional to 156,470 and 337,884

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Solution

The third proportional to 156,470 and 337,884 is: 729,632.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,470 : 337,884 = 337,884 : x
  2. Step 2: Convert to fraction form
    156,470/337,884 = 337,884/x
  3. Step 3: Cross multiply
    156,470x = 337,884 × 337,884
  4. Step 4: Simplify right side
    156,470x = 114,165,597,456
  5. Step 5: Solve for x
    x = 114,165,597,456/156,470
  6. Step 6: Final answer
    x = 729,632.50

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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.