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Finding the Third Proportional to 116,809.88 and 177,523.31

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Solution

The third proportional to 116,809.88 and 177,523.31 is: 269,793.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,809.88 : 177,523.31 = 177,523.31 : x
  2. Step 2: Convert to fraction form
    116,809.88/177,523.31 = 177,523.31/x
  3. Step 3: Cross multiply
    116,809.88x = 177,523.31 × 177,523.31
  4. Step 4: Simplify right side
    116,809.88x = 31,514,526,480.97
  5. Step 5: Solve for x
    x = 31,514,526,480.97/116,809.88
  6. Step 6: Final answer
    x = 269,793.34

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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.