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Finding the Third Proportional to 154.06 and 332.56

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Solution

The third proportional to 154.06 and 332.56 is: 717.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.06 : 332.56 = 332.56 : x
  2. Step 2: Convert to fraction form
    154.06/332.56 = 332.56/x
  3. Step 3: Cross multiply
    154.06x = 332.56 × 332.56
  4. Step 4: Simplify right side
    154.06x = 110,597.82
  5. Step 5: Solve for x
    x = 110,597.82/154.06
  6. Step 6: Final answer
    x = 717.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.