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Finding the Third Proportional to 371.88 and 567.69

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Solution

The third proportional to 371.88 and 567.69 is: 866.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.88 : 567.69 = 567.69 : x
  2. Step 2: Convert to fraction form
    371.88/567.69 = 567.69/x
  3. Step 3: Cross multiply
    371.88x = 567.69 × 567.69
  4. Step 4: Simplify right side
    371.88x = 322,269.10
  5. Step 5: Solve for x
    x = 322,269.10/371.88
  6. Step 6: Final answer
    x = 866.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.