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Finding the Third Proportional to 141.88 and 299.16

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Solution

The third proportional to 141.88 and 299.16 is: 630.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.88 : 299.16 = 299.16 : x
  2. Step 2: Convert to fraction form
    141.88/299.16 = 299.16/x
  3. Step 3: Cross multiply
    141.88x = 299.16 × 299.16
  4. Step 4: Simplify right side
    141.88x = 89,494.46
  5. Step 5: Solve for x
    x = 89,494.46/141.88
  6. Step 6: Final answer
    x = 630.80

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.