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Finding the Third Proportional to 90,870 and 185,448

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Solution

The third proportional to 90,870 and 185,448 is: 378,463.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,870 : 185,448 = 185,448 : x
  2. Step 2: Convert to fraction form
    90,870/185,448 = 185,448/x
  3. Step 3: Cross multiply
    90,870x = 185,448 × 185,448
  4. Step 4: Simplify right side
    90,870x = 34,390,960,704
  5. Step 5: Solve for x
    x = 34,390,960,704/90,870
  6. Step 6: Final answer
    x = 378,463.31

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.