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Finding the Third Proportional to 169,381.44 and 363,212.86

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Solution

The third proportional to 169,381.44 and 363,212.86 is: 778,854.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,381.44 : 363,212.86 = 363,212.86 : x
  2. Step 2: Convert to fraction form
    169,381.44/363,212.86 = 363,212.86/x
  3. Step 3: Cross multiply
    169,381.44x = 363,212.86 × 363,212.86
  4. Step 4: Simplify right side
    169,381.44x = 131,923,581,215.36
  5. Step 5: Solve for x
    x = 131,923,581,215.36/169,381.44
  6. Step 6: Final answer
    x = 778,854.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.