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Finding the Third Proportional to 258.19 and 567.56

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Solution

The third proportional to 258.19 and 567.56 is: 1,247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.19 : 567.56 = 567.56 : x
  2. Step 2: Convert to fraction form
    258.19/567.56 = 567.56/x
  3. Step 3: Cross multiply
    258.19x = 567.56 × 567.56
  4. Step 4: Simplify right side
    258.19x = 322,127.19
  5. Step 5: Solve for x
    x = 322,127.19/258.19
  6. Step 6: Final answer
    x = 1,247.65

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Why These Related Problems?

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