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Finding the Third Proportional to 88,781.25 and 209,549.25

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Solution

The third proportional to 88,781.25 and 209,549.25 is: 494,596.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,781.25 : 209,549.25 = 209,549.25 : x
  2. Step 2: Convert to fraction form
    88,781.25/209,549.25 = 209,549.25/x
  3. Step 3: Cross multiply
    88,781.25x = 209,549.25 × 209,549.25
  4. Step 4: Simplify right side
    88,781.25x = 43,910,888,175.56
  5. Step 5: Solve for x
    x = 43,910,888,175.56/88,781.25
  6. Step 6: Final answer
    x = 494,596.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.