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Finding the Third Proportional to 266.81 and 415.27

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Solution

The third proportional to 266.81 and 415.27 is: 646.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.81 : 415.27 = 415.27 : x
  2. Step 2: Convert to fraction form
    266.81/415.27 = 415.27/x
  3. Step 3: Cross multiply
    266.81x = 415.27 × 415.27
  4. Step 4: Simplify right side
    266.81x = 172,445.54
  5. Step 5: Solve for x
    x = 172,445.54/266.81
  6. Step 6: Final answer
    x = 646.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.