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Finding the Third Proportional to 125.50 and 296.94

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Solution

The third proportional to 125.50 and 296.94 is: 702.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.50 : 296.94 = 296.94 : x
  2. Step 2: Convert to fraction form
    125.50/296.94 = 296.94/x
  3. Step 3: Cross multiply
    125.50x = 296.94 × 296.94
  4. Step 4: Simplify right side
    125.50x = 88,171.88
  5. Step 5: Solve for x
    x = 88,171.88/125.50
  6. Step 6: Final answer
    x = 702.56

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.