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Finding the Third Proportional to 141.66 and 336.14

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Solution

The third proportional to 141.66 and 336.14 is: 797.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.66 : 336.14 = 336.14 : x
  2. Step 2: Convert to fraction form
    141.66/336.14 = 336.14/x
  3. Step 3: Cross multiply
    141.66x = 336.14 × 336.14
  4. Step 4: Simplify right side
    141.66x = 112,990.52
  5. Step 5: Solve for x
    x = 112,990.52/141.66
  6. Step 6: Final answer
    x = 797.64

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.