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Finding the Third Proportional to 177,151 and 269,008

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Solution

The third proportional to 177,151 and 269,008 is: 408,495.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,151 : 269,008 = 269,008 : x
  2. Step 2: Convert to fraction form
    177,151/269,008 = 269,008/x
  3. Step 3: Cross multiply
    177,151x = 269,008 × 269,008
  4. Step 4: Simplify right side
    177,151x = 72,365,304,064
  5. Step 5: Solve for x
    x = 72,365,304,064/177,151
  6. Step 6: Final answer
    x = 408,495.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.