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Finding the Third Proportional to 208.25 and 296.00

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Solution

The third proportional to 208.25 and 296.00 is: 420.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.25 : 296.00 = 296.00 : x
  2. Step 2: Convert to fraction form
    208.25/296.00 = 296.00/x
  3. Step 3: Cross multiply
    208.25x = 296.00 × 296.00
  4. Step 4: Simplify right side
    208.25x = 87,614.84
  5. Step 5: Solve for x
    x = 87,614.84/208.25
  6. Step 6: Final answer
    x = 420.72

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.