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Finding the Third Proportional to 177,338 and 239,259

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Solution

The third proportional to 177,338 and 239,259 is: 322,800.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,338 : 239,259 = 239,259 : x
  2. Step 2: Convert to fraction form
    177,338/239,259 = 239,259/x
  3. Step 3: Cross multiply
    177,338x = 239,259 × 239,259
  4. Step 4: Simplify right side
    177,338x = 57,244,869,081
  5. Step 5: Solve for x
    x = 57,244,869,081/177,338
  6. Step 6: Final answer
    x = 322,800.92

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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.