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Finding the Third Proportional to 177,092 and 266,306

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Solution

The third proportional to 177,092 and 266,306 is: 400,463.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,092 : 266,306 = 266,306 : x
  2. Step 2: Convert to fraction form
    177,092/266,306 = 266,306/x
  3. Step 3: Cross multiply
    177,092x = 266,306 × 266,306
  4. Step 4: Simplify right side
    177,092x = 70,918,885,636
  5. Step 5: Solve for x
    x = 70,918,885,636/177,092
  6. Step 6: Final answer
    x = 400,463.52

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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.