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Finding the Third Proportional to 203,762 and 314,876

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Solution

The third proportional to 203,762 and 314,876 is: 486,581.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,762 : 314,876 = 314,876 : x
  2. Step 2: Convert to fraction form
    203,762/314,876 = 314,876/x
  3. Step 3: Cross multiply
    203,762x = 314,876 × 314,876
  4. Step 4: Simplify right side
    203,762x = 99,146,895,376
  5. Step 5: Solve for x
    x = 99,146,895,376/203,762
  6. Step 6: Final answer
    x = 486,581.87

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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.