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Finding the Third Proportional to 186,624 and 280,422

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Solution

The third proportional to 186,624 and 280,422 is: 421,363.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,624 : 280,422 = 280,422 : x
  2. Step 2: Convert to fraction form
    186,624/280,422 = 280,422/x
  3. Step 3: Cross multiply
    186,624x = 280,422 × 280,422
  4. Step 4: Simplify right side
    186,624x = 78,636,498,084
  5. Step 5: Solve for x
    x = 78,636,498,084/186,624
  6. Step 6: Final answer
    x = 421,363.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.