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Finding the Third Proportional to 116,332.88 and 177,882.75

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Solution

The third proportional to 116,332.88 and 177,882.75 is: 271,997.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,332.88 : 177,882.75 = 177,882.75 : x
  2. Step 2: Convert to fraction form
    116,332.88/177,882.75 = 177,882.75/x
  3. Step 3: Cross multiply
    116,332.88x = 177,882.75 × 177,882.75
  4. Step 4: Simplify right side
    116,332.88x = 31,642,272,747.56
  5. Step 5: Solve for x
    x = 31,642,272,747.56/116,332.88
  6. Step 6: Final answer
    x = 271,997.69

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.