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Finding the Third Proportional to 140.56 and 308.15

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Solution

The third proportional to 140.56 and 308.15 is: 675.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.56 : 308.15 = 308.15 : x
  2. Step 2: Convert to fraction form
    140.56/308.15 = 308.15/x
  3. Step 3: Cross multiply
    140.56x = 308.15 × 308.15
  4. Step 4: Simplify right side
    140.56x = 94,954.91
  5. Step 5: Solve for x
    x = 94,954.91/140.56
  6. Step 6: Final answer
    x = 675.55

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.