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Finding the Third Proportional to 154.97 and 337.58

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Solution

The third proportional to 154.97 and 337.58 is: 735.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.97 : 337.58 = 337.58 : x
  2. Step 2: Convert to fraction form
    154.97/337.58 = 337.58/x
  3. Step 3: Cross multiply
    154.97x = 337.58 × 337.58
  4. Step 4: Simplify right side
    154.97x = 113,960.76
  5. Step 5: Solve for x
    x = 113,960.76/154.97
  6. Step 6: Final answer
    x = 735.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.