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Finding the Third Proportional to 168,189.75 and 260,691.75

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Solution

The third proportional to 168,189.75 and 260,691.75 is: 404,068.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,189.75 : 260,691.75 = 260,691.75 : x
  2. Step 2: Convert to fraction form
    168,189.75/260,691.75 = 260,691.75/x
  3. Step 3: Cross multiply
    168,189.75x = 260,691.75 × 260,691.75
  4. Step 4: Simplify right side
    168,189.75x = 67,960,188,518.06
  5. Step 5: Solve for x
    x = 67,960,188,518.06/168,189.75
  6. Step 6: Final answer
    x = 404,068.55

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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.