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Finding the Third Proportional to 257.71 and 386.57

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Solution

The third proportional to 257.71 and 386.57 is: 579.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.71 : 386.57 = 386.57 : x
  2. Step 2: Convert to fraction form
    257.71/386.57 = 386.57/x
  3. Step 3: Cross multiply
    257.71x = 386.57 × 386.57
  4. Step 4: Simplify right side
    257.71x = 149,435.85
  5. Step 5: Solve for x
    x = 149,435.85/257.71
  6. Step 6: Final answer
    x = 579.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.