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Finding the Third Proportional to 215,860 and 337,882

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Solution

The third proportional to 215,860 and 337,882 is: 528,880.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,860 : 337,882 = 337,882 : x
  2. Step 2: Convert to fraction form
    215,860/337,882 = 337,882/x
  3. Step 3: Cross multiply
    215,860x = 337,882 × 337,882
  4. Step 4: Simplify right side
    215,860x = 114,164,245,924
  5. Step 5: Solve for x
    x = 114,164,245,924/215,860
  6. Step 6: Final answer
    x = 528,880.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.