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Finding the Third Proportional to 177,563 and 239,233

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Solution

The third proportional to 177,563 and 239,233 is: 322,321.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,563 : 239,233 = 239,233 : x
  2. Step 2: Convert to fraction form
    177,563/239,233 = 239,233/x
  3. Step 3: Cross multiply
    177,563x = 239,233 × 239,233
  4. Step 4: Simplify right side
    177,563x = 57,232,428,289
  5. Step 5: Solve for x
    x = 57,232,428,289/177,563
  6. Step 6: Final answer
    x = 322,321.81

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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.