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Finding the Third Proportional to 116,781.75 and 255,375

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Solution

The third proportional to 116,781.75 and 255,375 is: 558,446.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,781.75 : 255,375 = 255,375 : x
  2. Step 2: Convert to fraction form
    116,781.75/255,375 = 255,375/x
  3. Step 3: Cross multiply
    116,781.75x = 255,375 × 255,375
  4. Step 4: Simplify right side
    116,781.75x = 65,216,390,625
  5. Step 5: Solve for x
    x = 65,216,390,625/116,781.75
  6. Step 6: Final answer
    x = 558,446.77

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.