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Finding the Third Proportional to 258.56 and 563.60

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Solution

The third proportional to 258.56 and 563.60 is: 1,228.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.56 : 563.60 = 563.60 : x
  2. Step 2: Convert to fraction form
    258.56/563.60 = 563.60/x
  3. Step 3: Cross multiply
    258.56x = 563.60 × 563.60
  4. Step 4: Simplify right side
    258.56x = 317,646.72
  5. Step 5: Solve for x
    x = 317,646.72/258.56
  6. Step 6: Final answer
    x = 1,228.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.