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Finding the Third Proportional to 175,822 and 387,500

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Solution

The third proportional to 175,822 and 387,500 is: 854,024.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,822 : 387,500 = 387,500 : x
  2. Step 2: Convert to fraction form
    175,822/387,500 = 387,500/x
  3. Step 3: Cross multiply
    175,822x = 387,500 × 387,500
  4. Step 4: Simplify right side
    175,822x = 150,156,250,000
  5. Step 5: Solve for x
    x = 150,156,250,000/175,822
  6. Step 6: Final answer
    x = 854,024.24

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