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Finding the Third Proportional to 125,589 and 296,411

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Solution

The third proportional to 125,589 and 296,411 is: 699,579.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,589 : 296,411 = 296,411 : x
  2. Step 2: Convert to fraction form
    125,589/296,411 = 296,411/x
  3. Step 3: Cross multiply
    125,589x = 296,411 × 296,411
  4. Step 4: Simplify right side
    125,589x = 87,859,480,921
  5. Step 5: Solve for x
    x = 87,859,480,921/125,589
  6. Step 6: Final answer
    x = 699,579.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.