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Finding the Third Proportional to 203,230 and 313,452

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Solution

The third proportional to 203,230 and 313,452 is: 483,453.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,230 : 313,452 = 313,452 : x
  2. Step 2: Convert to fraction form
    203,230/313,452 = 313,452/x
  3. Step 3: Cross multiply
    203,230x = 313,452 × 313,452
  4. Step 4: Simplify right side
    203,230x = 98,252,156,304
  5. Step 5: Solve for x
    x = 98,252,156,304/203,230
  6. Step 6: Final answer
    x = 483,453.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.