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Finding the Third Proportional to 168,585.38 and 361,217.25

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Solution

The third proportional to 168,585.38 and 361,217.25 is: 773,957.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,585.38 : 361,217.25 = 361,217.25 : x
  2. Step 2: Convert to fraction form
    168,585.38/361,217.25 = 361,217.25/x
  3. Step 3: Cross multiply
    168,585.38x = 361,217.25 × 361,217.25
  4. Step 4: Simplify right side
    168,585.38x = 130,477,901,697.56
  5. Step 5: Solve for x
    x = 130,477,901,697.56/168,585.38
  6. Step 6: Final answer
    x = 773,957.42

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