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Finding the Third Proportional to 203,282 and 445,948

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Solution

The third proportional to 203,282 and 445,948 is: 978,294.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,282 : 445,948 = 445,948 : x
  2. Step 2: Convert to fraction form
    203,282/445,948 = 445,948/x
  3. Step 3: Cross multiply
    203,282x = 445,948 × 445,948
  4. Step 4: Simplify right side
    203,282x = 198,869,618,704
  5. Step 5: Solve for x
    x = 198,869,618,704/203,282
  6. Step 6: Final answer
    x = 978,294.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.