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Finding the Third Proportional to 257.06 and 542.81

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Solution

The third proportional to 257.06 and 542.81 is: 1,146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.06 : 542.81 = 542.81 : x
  2. Step 2: Convert to fraction form
    257.06/542.81 = 542.81/x
  3. Step 3: Cross multiply
    257.06x = 542.81 × 542.81
  4. Step 4: Simplify right side
    257.06x = 294,645.41
  5. Step 5: Solve for x
    x = 294,645.41/257.06
  6. Step 6: Final answer
    x = 1,146.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.