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Finding the Third Proportional to 156,746 and 338,432

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Solution

The third proportional to 156,746 and 338,432 is: 730,712.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,746 : 338,432 = 338,432 : x
  2. Step 2: Convert to fraction form
    156,746/338,432 = 338,432/x
  3. Step 3: Cross multiply
    156,746x = 338,432 × 338,432
  4. Step 4: Simplify right side
    156,746x = 114,536,218,624
  5. Step 5: Solve for x
    x = 114,536,218,624/156,746
  6. Step 6: Final answer
    x = 730,712.23

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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.