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Finding the Third Proportional to 257.34 and 565.73

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Solution

The third proportional to 257.34 and 565.73 is: 1,243.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.34 : 565.73 = 565.73 : x
  2. Step 2: Convert to fraction form
    257.34/565.73 = 565.73/x
  3. Step 3: Cross multiply
    257.34x = 565.73 × 565.73
  4. Step 4: Simplify right side
    257.34x = 320,055.38
  5. Step 5: Solve for x
    x = 320,055.38/257.34
  6. Step 6: Final answer
    x = 1,243.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.