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Finding the Third Proportional to 185,221.69 and 271,248.75

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Solution

The third proportional to 185,221.69 and 271,248.75 is: 397,231.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,221.69 : 271,248.75 = 271,248.75 : x
  2. Step 2: Convert to fraction form
    185,221.69/271,248.75 = 271,248.75/x
  3. Step 3: Cross multiply
    185,221.69x = 271,248.75 × 271,248.75
  4. Step 4: Simplify right side
    185,221.69x = 73,575,884,376.56
  5. Step 5: Solve for x
    x = 73,575,884,376.56/185,221.69
  6. Step 6: Final answer
    x = 397,231.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.