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Finding the Third Proportional to 116,943.75 and 182,260.13

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Solution

The third proportional to 116,943.75 and 182,260.13 is: 284,057.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,943.75 : 182,260.13 = 182,260.13 : x
  2. Step 2: Convert to fraction form
    116,943.75/182,260.13 = 182,260.13/x
  3. Step 3: Cross multiply
    116,943.75x = 182,260.13 × 182,260.13
  4. Step 4: Simplify right side
    116,943.75x = 33,218,753,165.02
  5. Step 5: Solve for x
    x = 33,218,753,165.02/116,943.75
  6. Step 6: Final answer
    x = 284,057.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.