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Finding the Third Proportional to 131.88 and 297.69

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Solution

The third proportional to 131.88 and 297.69 is: 671.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.88 : 297.69 = 297.69 : x
  2. Step 2: Convert to fraction form
    131.88/297.69 = 297.69/x
  3. Step 3: Cross multiply
    131.88x = 297.69 × 297.69
  4. Step 4: Simplify right side
    131.88x = 88,617.85
  5. Step 5: Solve for x
    x = 88,617.85/131.88
  6. Step 6: Final answer
    x = 671.98

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.