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Finding the Third Proportional to 116,659.13 and 175,434.75

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Solution

The third proportional to 116,659.13 and 175,434.75 is: 263,822.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,659.13 : 175,434.75 = 175,434.75 : x
  2. Step 2: Convert to fraction form
    116,659.13/175,434.75 = 175,434.75/x
  3. Step 3: Cross multiply
    116,659.13x = 175,434.75 × 175,434.75
  4. Step 4: Simplify right side
    116,659.13x = 30,777,351,507.56
  5. Step 5: Solve for x
    x = 30,777,351,507.56/116,659.13
  6. Step 6: Final answer
    x = 263,822.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.