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Finding the Third Proportional to 187,234 and 282,867

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Solution

The third proportional to 187,234 and 282,867 is: 427,346.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,234 : 282,867 = 282,867 : x
  2. Step 2: Convert to fraction form
    187,234/282,867 = 282,867/x
  3. Step 3: Cross multiply
    187,234x = 282,867 × 282,867
  4. Step 4: Simplify right side
    187,234x = 80,013,739,689
  5. Step 5: Solve for x
    x = 80,013,739,689/187,234
  6. Step 6: Final answer
    x = 427,346.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.