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Finding the Third Proportional to 204.75 and 382.50

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Solution

The third proportional to 204.75 and 382.50 is: 714.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.75 : 382.50 = 382.50 : x
  2. Step 2: Convert to fraction form
    204.75/382.50 = 382.50/x
  3. Step 3: Cross multiply
    204.75x = 382.50 × 382.50
  4. Step 4: Simplify right side
    204.75x = 146,306.25
  5. Step 5: Solve for x
    x = 146,306.25/204.75
  6. Step 6: Final answer
    x = 714.56

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.