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Finding the Third Proportional to 110,178.38 and 247,320.75

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Solution

The third proportional to 110,178.38 and 247,320.75 is: 555,168.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,178.38 : 247,320.75 = 247,320.75 : x
  2. Step 2: Convert to fraction form
    110,178.38/247,320.75 = 247,320.75/x
  3. Step 3: Cross multiply
    110,178.38x = 247,320.75 × 247,320.75
  4. Step 4: Simplify right side
    110,178.38x = 61,167,553,380.56
  5. Step 5: Solve for x
    x = 61,167,553,380.56/110,178.38
  6. Step 6: Final answer
    x = 555,168.41

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.