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Finding the Third Proportional to 258.19 and 542.81

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Solution

The third proportional to 258.19 and 542.81 is: 1,141.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.19 : 542.81 = 542.81 : x
  2. Step 2: Convert to fraction form
    258.19/542.81 = 542.81/x
  3. Step 3: Cross multiply
    258.19x = 542.81 × 542.81
  4. Step 4: Simplify right side
    258.19x = 294,645.41
  5. Step 5: Solve for x
    x = 294,645.41/258.19
  6. Step 6: Final answer
    x = 1,141.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.