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Finding the Third Proportional to 168,799.57 and 260,218.83

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Solution

The third proportional to 168,799.57 and 260,218.83 is: 401,149.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,799.57 : 260,218.83 = 260,218.83 : x
  2. Step 2: Convert to fraction form
    168,799.57/260,218.83 = 260,218.83/x
  3. Step 3: Cross multiply
    168,799.57x = 260,218.83 × 260,218.83
  4. Step 4: Simplify right side
    168,799.57x = 67,713,838,510.75
  5. Step 5: Solve for x
    x = 67,713,838,510.75/168,799.57
  6. Step 6: Final answer
    x = 401,149.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.