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Finding the Third Proportional to 140.13 and 296.95

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Solution

The third proportional to 140.13 and 296.95 is: 629.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.13 : 296.95 = 296.95 : x
  2. Step 2: Convert to fraction form
    140.13/296.95 = 296.95/x
  3. Step 3: Cross multiply
    140.13x = 296.95 × 296.95
  4. Step 4: Simplify right side
    140.13x = 88,180.19
  5. Step 5: Solve for x
    x = 88,180.19/140.13
  6. Step 6: Final answer
    x = 629.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.