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Finding the Third Proportional to 259.25 and 564.06

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Solution

The third proportional to 259.25 and 564.06 is: 1,227.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.25 : 564.06 = 564.06 : x
  2. Step 2: Convert to fraction form
    259.25/564.06 = 564.06/x
  3. Step 3: Cross multiply
    259.25x = 564.06 × 564.06
  4. Step 4: Simplify right side
    259.25x = 318,168.71
  5. Step 5: Solve for x
    x = 318,168.71/259.25
  6. Step 6: Final answer
    x = 1,227.26

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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.