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Finding the Third Proportional to 192,468 and 282,870

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Solution

The third proportional to 192,468 and 282,870 is: 415,733.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,468 : 282,870 = 282,870 : x
  2. Step 2: Convert to fraction form
    192,468/282,870 = 282,870/x
  3. Step 3: Cross multiply
    192,468x = 282,870 × 282,870
  4. Step 4: Simplify right side
    192,468x = 80,015,436,900
  5. Step 5: Solve for x
    x = 80,015,436,900/192,468
  6. Step 6: Final answer
    x = 415,733.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.