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Finding the Third Proportional to 169,942 and 373,436

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Solution

The third proportional to 169,942 and 373,436 is: 820,600.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,942 : 373,436 = 373,436 : x
  2. Step 2: Convert to fraction form
    169,942/373,436 = 373,436/x
  3. Step 3: Cross multiply
    169,942x = 373,436 × 373,436
  4. Step 4: Simplify right side
    169,942x = 139,454,446,096
  5. Step 5: Solve for x
    x = 139,454,446,096/169,942
  6. Step 6: Final answer
    x = 820,600.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.