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Finding the Third Proportional to 146.81 and 316.13

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Solution

The third proportional to 146.81 and 316.13 is: 680.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.81 : 316.13 = 316.13 : x
  2. Step 2: Convert to fraction form
    146.81/316.13 = 316.13/x
  3. Step 3: Cross multiply
    146.81x = 316.13 × 316.13
  4. Step 4: Simplify right side
    146.81x = 99,935.02
  5. Step 5: Solve for x
    x = 99,935.02/146.81
  6. Step 6: Final answer
    x = 680.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.