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Finding the Third Proportional to 177,063 and 266,934

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Solution

The third proportional to 177,063 and 266,934 is: 402,420.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,063 : 266,934 = 266,934 : x
  2. Step 2: Convert to fraction form
    177,063/266,934 = 266,934/x
  3. Step 3: Cross multiply
    177,063x = 266,934 × 266,934
  4. Step 4: Simplify right side
    177,063x = 71,253,760,356
  5. Step 5: Solve for x
    x = 71,253,760,356/177,063
  6. Step 6: Final answer
    x = 402,420.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.