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Finding the Third Proportional to 168,381.28 and 363,469.78

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Solution

The third proportional to 168,381.28 and 363,469.78 is: 784,590.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,381.28 : 363,469.78 = 363,469.78 : x
  2. Step 2: Convert to fraction form
    168,381.28/363,469.78 = 363,469.78/x
  3. Step 3: Cross multiply
    168,381.28x = 363,469.78 × 363,469.78
  4. Step 4: Simplify right side
    168,381.28x = 132,110,281,881.92
  5. Step 5: Solve for x
    x = 132,110,281,881.92/168,381.28
  6. Step 6: Final answer
    x = 784,590.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.