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Finding the Third Proportional to 222,587 and 344,876

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Solution

The third proportional to 222,587 and 344,876 is: 534,350.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,587 : 344,876 = 344,876 : x
  2. Step 2: Convert to fraction form
    222,587/344,876 = 344,876/x
  3. Step 3: Cross multiply
    222,587x = 344,876 × 344,876
  4. Step 4: Simplify right side
    222,587x = 118,939,455,376
  5. Step 5: Solve for x
    x = 118,939,455,376/222,587
  6. Step 6: Final answer
    x = 534,350.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.