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Finding the Third Proportional to 118,882 and 259,088

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Solution

The third proportional to 118,882 and 259,088 is: 564,648.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,882 : 259,088 = 259,088 : x
  2. Step 2: Convert to fraction form
    118,882/259,088 = 259,088/x
  3. Step 3: Cross multiply
    118,882x = 259,088 × 259,088
  4. Step 4: Simplify right side
    118,882x = 67,126,591,744
  5. Step 5: Solve for x
    x = 67,126,591,744/118,882
  6. Step 6: Final answer
    x = 564,648.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.