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Finding the Third Proportional to 177,792 and 266,184

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Solution

The third proportional to 177,792 and 266,184 is: 398,521.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,792 : 266,184 = 266,184 : x
  2. Step 2: Convert to fraction form
    177,792/266,184 = 266,184/x
  3. Step 3: Cross multiply
    177,792x = 266,184 × 266,184
  4. Step 4: Simplify right side
    177,792x = 70,853,921,856
  5. Step 5: Solve for x
    x = 70,853,921,856/177,792
  6. Step 6: Final answer
    x = 398,521.43

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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.