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Finding the Third Proportional to 168,981.19 and 261,559.13

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Solution

The third proportional to 168,981.19 and 261,559.13 is: 404,856.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,981.19 : 261,559.13 = 261,559.13 : x
  2. Step 2: Convert to fraction form
    168,981.19/261,559.13 = 261,559.13/x
  3. Step 3: Cross multiply
    168,981.19x = 261,559.13 × 261,559.13
  4. Step 4: Simplify right side
    168,981.19x = 68,413,175,870.77
  5. Step 5: Solve for x
    x = 68,413,175,870.77/168,981.19
  6. Step 6: Final answer
    x = 404,856.76

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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.