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Finding the Third Proportional to 192,555 and 410,870

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Solution

The third proportional to 192,555 and 410,870 is: 876,706.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,555 : 410,870 = 410,870 : x
  2. Step 2: Convert to fraction form
    192,555/410,870 = 410,870/x
  3. Step 3: Cross multiply
    192,555x = 410,870 × 410,870
  4. Step 4: Simplify right side
    192,555x = 168,814,156,900
  5. Step 5: Solve for x
    x = 168,814,156,900/192,555
  6. Step 6: Final answer
    x = 876,706.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.