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Finding the Third Proportional to 175,860 and 387,564

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Solution

The third proportional to 175,860 and 387,564 is: 854,121.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,860 : 387,564 = 387,564 : x
  2. Step 2: Convert to fraction form
    175,860/387,564 = 387,564/x
  3. Step 3: Cross multiply
    175,860x = 387,564 × 387,564
  4. Step 4: Simplify right side
    175,860x = 150,205,854,096
  5. Step 5: Solve for x
    x = 150,205,854,096/175,860
  6. Step 6: Final answer
    x = 854,121.77

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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.