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Finding the Third Proportional to 168,184 and 260,682

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Solution

The third proportional to 168,184 and 260,682 is: 404,052.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,184 : 260,682 = 260,682 : x
  2. Step 2: Convert to fraction form
    168,184/260,682 = 260,682/x
  3. Step 3: Cross multiply
    168,184x = 260,682 × 260,682
  4. Step 4: Simplify right side
    168,184x = 67,955,105,124
  5. Step 5: Solve for x
    x = 67,955,105,124/168,184
  6. Step 6: Final answer
    x = 404,052.14

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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.