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Finding the Third Proportional to 156,510 and 337,482

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Solution

The third proportional to 156,510 and 337,482 is: 727,711.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,510 : 337,482 = 337,482 : x
  2. Step 2: Convert to fraction form
    156,510/337,482 = 337,482/x
  3. Step 3: Cross multiply
    156,510x = 337,482 × 337,482
  4. Step 4: Simplify right side
    156,510x = 113,894,100,324
  5. Step 5: Solve for x
    x = 113,894,100,324/156,510
  6. Step 6: Final answer
    x = 727,711.33

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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.