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Finding the Third Proportional to 257.41 and 531.84

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Solution

The third proportional to 257.41 and 531.84 is: 1,098.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.41 : 531.84 = 531.84 : x
  2. Step 2: Convert to fraction form
    257.41/531.84 = 531.84/x
  3. Step 3: Cross multiply
    257.41x = 531.84 × 531.84
  4. Step 4: Simplify right side
    257.41x = 282,857.77
  5. Step 5: Solve for x
    x = 282,857.77/257.41
  6. Step 6: Final answer
    x = 1,098.88

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.