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Finding the Third Proportional to 121.78 and 264.66

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Solution

The third proportional to 121.78 and 264.66 is: 575.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.78 : 264.66 = 264.66 : x
  2. Step 2: Convert to fraction form
    121.78/264.66 = 264.66/x
  3. Step 3: Cross multiply
    121.78x = 264.66 × 264.66
  4. Step 4: Simplify right side
    121.78x = 70,042.93
  5. Step 5: Solve for x
    x = 70,042.93/121.78
  6. Step 6: Final answer
    x = 575.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.