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Finding the Third Proportional to 156,484.13 and 337,862.25

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Solution

The third proportional to 156,484.13 and 337,862.25 is: 729,472.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,484.13 : 337,862.25 = 337,862.25 : x
  2. Step 2: Convert to fraction form
    156,484.13/337,862.25 = 337,862.25/x
  3. Step 3: Cross multiply
    156,484.13x = 337,862.25 × 337,862.25
  4. Step 4: Simplify right side
    156,484.13x = 114,150,899,975.06
  5. Step 5: Solve for x
    x = 114,150,899,975.06/156,484.13
  6. Step 6: Final answer
    x = 729,472.72

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Why These Related Problems?

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