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Finding the Third Proportional to 131.88 and 342.69

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Solution

The third proportional to 131.88 and 342.69 is: 890.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.88 : 342.69 = 342.69 : x
  2. Step 2: Convert to fraction form
    131.88/342.69 = 342.69/x
  3. Step 3: Cross multiply
    131.88x = 342.69 × 342.69
  4. Step 4: Simplify right side
    131.88x = 117,434.72
  5. Step 5: Solve for x
    x = 117,434.72/131.88
  6. Step 6: Final answer
    x = 890.50

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These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.