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Finding the Third Proportional to 265.78 and 408.80

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Solution

The third proportional to 265.78 and 408.80 is: 628.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.78 : 408.80 = 408.80 : x
  2. Step 2: Convert to fraction form
    265.78/408.80 = 408.80/x
  3. Step 3: Cross multiply
    265.78x = 408.80 × 408.80
  4. Step 4: Simplify right side
    265.78x = 167,114.89
  5. Step 5: Solve for x
    x = 167,114.89/265.78
  6. Step 6: Final answer
    x = 628.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.