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Finding the Third Proportional to 185,532 and 268,008

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Solution

The third proportional to 185,532 and 268,008 is: 387,147.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,532 : 268,008 = 268,008 : x
  2. Step 2: Convert to fraction form
    185,532/268,008 = 268,008/x
  3. Step 3: Cross multiply
    185,532x = 268,008 × 268,008
  4. Step 4: Simplify right side
    185,532x = 71,828,288,064
  5. Step 5: Solve for x
    x = 71,828,288,064/185,532
  6. Step 6: Final answer
    x = 387,147.71

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.