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Finding the Third Proportional to 121.11 and 264.76

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Solution

The third proportional to 121.11 and 264.76 is: 578.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.11 : 264.76 = 264.76 : x
  2. Step 2: Convert to fraction form
    121.11/264.76 = 264.76/x
  3. Step 3: Cross multiply
    121.11x = 264.76 × 264.76
  4. Step 4: Simplify right side
    121.11x = 70,098.77
  5. Step 5: Solve for x
    x = 70,098.77/121.11
  6. Step 6: Final answer
    x = 578.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.