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Finding the Third Proportional to 103.14 and 154.18

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Solution

The third proportional to 103.14 and 154.18 is: 230.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.14 : 154.18 = 154.18 : x
  2. Step 2: Convert to fraction form
    103.14/154.18 = 154.18/x
  3. Step 3: Cross multiply
    103.14x = 154.18 × 154.18
  4. Step 4: Simplify right side
    103.14x = 23,772.13
  5. Step 5: Solve for x
    x = 23,772.13/103.14
  6. Step 6: Final answer
    x = 230.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.