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Finding the Third Proportional to 154.13 and 230.63

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Solution

The third proportional to 154.13 and 230.63 is: 345.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.13 : 230.63 = 230.63 : x
  2. Step 2: Convert to fraction form
    154.13/230.63 = 230.63/x
  3. Step 3: Cross multiply
    154.13x = 230.63 × 230.63
  4. Step 4: Simplify right side
    154.13x = 53,187.89
  5. Step 5: Solve for x
    x = 53,187.89/154.13
  6. Step 6: Final answer
    x = 345.10

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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.