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Finding the Third Proportional to 177,258.38 and 266,016.38

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Solution

The third proportional to 177,258.38 and 266,016.38 is: 399,217.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,258.38 : 266,016.38 = 266,016.38 : x
  2. Step 2: Convert to fraction form
    177,258.38/266,016.38 = 266,016.38/x
  3. Step 3: Cross multiply
    177,258.38x = 266,016.38 × 266,016.38
  4. Step 4: Simplify right side
    177,258.38x = 70,764,711,768.14
  5. Step 5: Solve for x
    x = 70,764,711,768.14/177,258.38
  6. Step 6: Final answer
    x = 399,217.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.