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Finding the Third Proportional to 206.50 and 314

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Solution

The third proportional to 206.50 and 314 is: 477.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.50 : 314 = 314 : x
  2. Step 2: Convert to fraction form
    206.50/314 = 314/x
  3. Step 3: Cross multiply
    206.50x = 314 × 314
  4. Step 4: Simplify right side
    206.50x = 98,596
  5. Step 5: Solve for x
    x = 98,596/206.50
  6. Step 6: Final answer
    x = 477.46

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.