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Finding the Third Proportional to 206,972.50 and 303,642

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Solution

The third proportional to 206,972.50 and 303,642 is: 445,462.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,972.50 : 303,642 = 303,642 : x
  2. Step 2: Convert to fraction form
    206,972.50/303,642 = 303,642/x
  3. Step 3: Cross multiply
    206,972.50x = 303,642 × 303,642
  4. Step 4: Simplify right side
    206,972.50x = 92,198,464,164
  5. Step 5: Solve for x
    x = 92,198,464,164/206,972.50
  6. Step 6: Final answer
    x = 445,462.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.