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Finding the Third Proportional to 154.25 and 334.66

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Solution

The third proportional to 154.25 and 334.66 is: 726.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.25 : 334.66 = 334.66 : x
  2. Step 2: Convert to fraction form
    154.25/334.66 = 334.66/x
  3. Step 3: Cross multiply
    154.25x = 334.66 × 334.66
  4. Step 4: Simplify right side
    154.25x = 111,994.81
  5. Step 5: Solve for x
    x = 111,994.81/154.25
  6. Step 6: Final answer
    x = 726.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.