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Finding the Third Proportional to 172,143 and 371,478

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Solution

The third proportional to 172,143 and 371,478 is: 801,635.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,143 : 371,478 = 371,478 : x
  2. Step 2: Convert to fraction form
    172,143/371,478 = 371,478/x
  3. Step 3: Cross multiply
    172,143x = 371,478 × 371,478
  4. Step 4: Simplify right side
    172,143x = 137,995,904,484
  5. Step 5: Solve for x
    x = 137,995,904,484/172,143
  6. Step 6: Final answer
    x = 801,635.29

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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.