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Finding the Third Proportional to 168,057.50 and 260,348.75

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Solution

The third proportional to 168,057.50 and 260,348.75 is: 403,323.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,057.50 : 260,348.75 = 260,348.75 : x
  2. Step 2: Convert to fraction form
    168,057.50/260,348.75 = 260,348.75/x
  3. Step 3: Cross multiply
    168,057.50x = 260,348.75 × 260,348.75
  4. Step 4: Simplify right side
    168,057.50x = 67,781,471,626.56
  5. Step 5: Solve for x
    x = 67,781,471,626.56/168,057.50
  6. Step 6: Final answer
    x = 403,323.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.