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Finding the Third Proportional to 269.75 and 415.88

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Solution

The third proportional to 269.75 and 415.88 is: 641.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.75 : 415.88 = 415.88 : x
  2. Step 2: Convert to fraction form
    269.75/415.88 = 415.88/x
  3. Step 3: Cross multiply
    269.75x = 415.88 × 415.88
  4. Step 4: Simplify right side
    269.75x = 172,952.02
  5. Step 5: Solve for x
    x = 172,952.02/269.75
  6. Step 6: Final answer
    x = 641.16

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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.