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Finding the Third Proportional to 206,466 and 301,729.50

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Solution

The third proportional to 206,466 and 301,729.50 is: 440,947.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,466 : 301,729.50 = 301,729.50 : x
  2. Step 2: Convert to fraction form
    206,466/301,729.50 = 301,729.50/x
  3. Step 3: Cross multiply
    206,466x = 301,729.50 × 301,729.50
  4. Step 4: Simplify right side
    206,466x = 91,040,691,170.25
  5. Step 5: Solve for x
    x = 91,040,691,170.25/206,466
  6. Step 6: Final answer
    x = 440,947.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.