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Finding the Third Proportional to 296.11 and 611.20

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Solution

The third proportional to 296.11 and 611.20 is: 1,261.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.11 : 611.20 = 611.20 : x
  2. Step 2: Convert to fraction form
    296.11/611.20 = 611.20/x
  3. Step 3: Cross multiply
    296.11x = 611.20 × 611.20
  4. Step 4: Simplify right side
    296.11x = 373,569.26
  5. Step 5: Solve for x
    x = 373,569.26/296.11
  6. Step 6: Final answer
    x = 1,261.59

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.