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Finding the Third Proportional to 129,998 and 282,214

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Solution

The third proportional to 129,998 and 282,214 is: 612,661.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,998 : 282,214 = 282,214 : x
  2. Step 2: Convert to fraction form
    129,998/282,214 = 282,214/x
  3. Step 3: Cross multiply
    129,998x = 282,214 × 282,214
  4. Step 4: Simplify right side
    129,998x = 79,644,741,796
  5. Step 5: Solve for x
    x = 79,644,741,796/129,998
  6. Step 6: Final answer
    x = 612,661.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.