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Finding the Third Proportional to 206,770.22 and 316,237.92

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Solution

The third proportional to 206,770.22 and 316,237.92 is: 483,659.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,770.22 : 316,237.92 = 316,237.92 : x
  2. Step 2: Convert to fraction form
    206,770.22/316,237.92 = 316,237.92/x
  3. Step 3: Cross multiply
    206,770.22x = 316,237.92 × 316,237.92
  4. Step 4: Simplify right side
    206,770.22x = 100,006,423,231.82
  5. Step 5: Solve for x
    x = 100,006,423,231.82/206,770.22
  6. Step 6: Final answer
    x = 483,659.71

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Why These Related Problems?

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