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Finding the Third Proportional to 172,019 and 260,624

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Solution

The third proportional to 172,019 and 260,624 is: 394,868.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,019 : 260,624 = 260,624 : x
  2. Step 2: Convert to fraction form
    172,019/260,624 = 260,624/x
  3. Step 3: Cross multiply
    172,019x = 260,624 × 260,624
  4. Step 4: Simplify right side
    172,019x = 67,924,869,376
  5. Step 5: Solve for x
    x = 67,924,869,376/172,019
  6. Step 6: Final answer
    x = 394,868.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.