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Finding the Third Proportional to 118,884 and 259,092

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Solution

The third proportional to 118,884 and 259,092 is: 564,656.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,884 : 259,092 = 259,092 : x
  2. Step 2: Convert to fraction form
    118,884/259,092 = 259,092/x
  3. Step 3: Cross multiply
    118,884x = 259,092 × 259,092
  4. Step 4: Simplify right side
    118,884x = 67,128,664,464
  5. Step 5: Solve for x
    x = 67,128,664,464/118,884
  6. Step 6: Final answer
    x = 564,656.85

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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.