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Finding the Third Proportional to 154.72 and 336.18

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Solution

The third proportional to 154.72 and 336.18 is: 730.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.72 : 336.18 = 336.18 : x
  2. Step 2: Convert to fraction form
    154.72/336.18 = 336.18/x
  3. Step 3: Cross multiply
    154.72x = 336.18 × 336.18
  4. Step 4: Simplify right side
    154.72x = 113,018.10
  5. Step 5: Solve for x
    x = 113,018.10/154.72
  6. Step 6: Final answer
    x = 730.46

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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.