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Finding the Third Proportional to 156,514 and 337,490

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Solution

The third proportional to 156,514 and 337,490 is: 727,727.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,514 : 337,490 = 337,490 : x
  2. Step 2: Convert to fraction form
    156,514/337,490 = 337,490/x
  3. Step 3: Cross multiply
    156,514x = 337,490 × 337,490
  4. Step 4: Simplify right side
    156,514x = 113,899,500,100
  5. Step 5: Solve for x
    x = 113,899,500,100/156,514
  6. Step 6: Final answer
    x = 727,727.23

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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.