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Finding the Third Proportional to 188,902.13 and 317,251.69

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Solution

The third proportional to 188,902.13 and 317,251.69 is: 532,808.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,902.13 : 317,251.69 = 317,251.69 : x
  2. Step 2: Convert to fraction form
    188,902.13/317,251.69 = 317,251.69/x
  3. Step 3: Cross multiply
    188,902.13x = 317,251.69 × 317,251.69
  4. Step 4: Simplify right side
    188,902.13x = 100,648,633,221.60
  5. Step 5: Solve for x
    x = 100,648,633,221.60/188,902.13
  6. Step 6: Final answer
    x = 532,808.37

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.