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Finding the Third Proportional to 153.84 and 230.20

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Solution

The third proportional to 153.84 and 230.20 is: 344.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.84 : 230.20 = 230.20 : x
  2. Step 2: Convert to fraction form
    153.84/230.20 = 230.20/x
  3. Step 3: Cross multiply
    153.84x = 230.20 × 230.20
  4. Step 4: Simplify right side
    153.84x = 52,993.48
  5. Step 5: Solve for x
    x = 52,993.48/153.84
  6. Step 6: Final answer
    x = 344.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.