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Finding the Third Proportional to 258.56 and 568.13

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Solution

The third proportional to 258.56 and 568.13 is: 1,248.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.56 : 568.13 = 568.13 : x
  2. Step 2: Convert to fraction form
    258.56/568.13 = 568.13/x
  3. Step 3: Cross multiply
    258.56x = 568.13 × 568.13
  4. Step 4: Simplify right side
    258.56x = 322,766.02
  5. Step 5: Solve for x
    x = 322,766.02/258.56
  6. Step 6: Final answer
    x = 1,248.31

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