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Finding the Third Proportional to 154.57 and 340.38

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Solution

The third proportional to 154.57 and 340.38 is: 749.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.57 : 340.38 = 340.38 : x
  2. Step 2: Convert to fraction form
    154.57/340.38 = 340.38/x
  3. Step 3: Cross multiply
    154.57x = 340.38 × 340.38
  4. Step 4: Simplify right side
    154.57x = 115,861.21
  5. Step 5: Solve for x
    x = 115,861.21/154.57
  6. Step 6: Final answer
    x = 749.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.