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Finding the Third Proportional to 177,567 and 239,241

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Solution

The third proportional to 177,567 and 239,241 is: 322,336.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,567 : 239,241 = 239,241 : x
  2. Step 2: Convert to fraction form
    177,567/239,241 = 239,241/x
  3. Step 3: Cross multiply
    177,567x = 239,241 × 239,241
  4. Step 4: Simplify right side
    177,567x = 57,236,256,081
  5. Step 5: Solve for x
    x = 57,236,256,081/177,567
  6. Step 6: Final answer
    x = 322,336.11

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.