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Finding the Third Proportional to 141,474 and 220,822

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Solution

The third proportional to 141,474 and 220,822 is: 344,673.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,474 : 220,822 = 220,822 : x
  2. Step 2: Convert to fraction form
    141,474/220,822 = 220,822/x
  3. Step 3: Cross multiply
    141,474x = 220,822 × 220,822
  4. Step 4: Simplify right side
    141,474x = 48,762,355,684
  5. Step 5: Solve for x
    x = 48,762,355,684/141,474
  6. Step 6: Final answer
    x = 344,673.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.