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Finding the Third Proportional to 132.89 and 294.26

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Solution

The third proportional to 132.89 and 294.26 is: 651.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.89 : 294.26 = 294.26 : x
  2. Step 2: Convert to fraction form
    132.89/294.26 = 294.26/x
  3. Step 3: Cross multiply
    132.89x = 294.26 × 294.26
  4. Step 4: Simplify right side
    132.89x = 86,587.66
  5. Step 5: Solve for x
    x = 86,587.66/132.89
  6. Step 6: Final answer
    x = 651.57

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.