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Finding the Third Proportional to 177,226.31 and 269,116.03

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Solution

The third proportional to 177,226.31 and 269,116.03 is: 408,649.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,226.31 : 269,116.03 = 269,116.03 : x
  2. Step 2: Convert to fraction form
    177,226.31/269,116.03 = 269,116.03/x
  3. Step 3: Cross multiply
    177,226.31x = 269,116.03 × 269,116.03
  4. Step 4: Simplify right side
    177,226.31x = 72,423,438,275.75
  5. Step 5: Solve for x
    x = 72,423,438,275.75/177,226.31
  6. Step 6: Final answer
    x = 408,649.47

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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.