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Finding the Third Proportional to 180,624 and 268,326

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Solution

The third proportional to 180,624 and 268,326 is: 398,611.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,624 : 268,326 = 268,326 : x
  2. Step 2: Convert to fraction form
    180,624/268,326 = 268,326/x
  3. Step 3: Cross multiply
    180,624x = 268,326 × 268,326
  4. Step 4: Simplify right side
    180,624x = 71,998,842,276
  5. Step 5: Solve for x
    x = 71,998,842,276/180,624
  6. Step 6: Final answer
    x = 398,611.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.