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Finding the Third Proportional to 177,559.88 and 239,229

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Solution

The third proportional to 177,559.88 and 239,229 is: 322,316.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,559.88 : 239,229 = 239,229 : x
  2. Step 2: Convert to fraction form
    177,559.88/239,229 = 239,229/x
  3. Step 3: Cross multiply
    177,559.88x = 239,229 × 239,229
  4. Step 4: Simplify right side
    177,559.88x = 57,230,514,441
  5. Step 5: Solve for x
    x = 57,230,514,441/177,559.88
  6. Step 6: Final answer
    x = 322,316.71

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.