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Finding the Third Proportional to 156,630.38 and 252,198.56

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Solution

The third proportional to 156,630.38 and 252,198.56 is: 406,077.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,630.38 : 252,198.56 = 252,198.56 : x
  2. Step 2: Convert to fraction form
    156,630.38/252,198.56 = 252,198.56/x
  3. Step 3: Cross multiply
    156,630.38x = 252,198.56 × 252,198.56
  4. Step 4: Simplify right side
    156,630.38x = 63,604,114,927.07
  5. Step 5: Solve for x
    x = 63,604,114,927.07/156,630.38
  6. Step 6: Final answer
    x = 406,077.78

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.