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Finding the Third Proportional to 181,626 and 283,478

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Solution

The third proportional to 181,626 and 283,478 is: 442,446.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,626 : 283,478 = 283,478 : x
  2. Step 2: Convert to fraction form
    181,626/283,478 = 283,478/x
  3. Step 3: Cross multiply
    181,626x = 283,478 × 283,478
  4. Step 4: Simplify right side
    181,626x = 80,359,776,484
  5. Step 5: Solve for x
    x = 80,359,776,484/181,626
  6. Step 6: Final answer
    x = 442,446.44

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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.