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Finding the Third Proportional to 154.03 and 371.72

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Solution

The third proportional to 154.03 and 371.72 is: 897.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.03 : 371.72 = 371.72 : x
  2. Step 2: Convert to fraction form
    154.03/371.72 = 371.72/x
  3. Step 3: Cross multiply
    154.03x = 371.72 × 371.72
  4. Step 4: Simplify right side
    154.03x = 138,174.83
  5. Step 5: Solve for x
    x = 138,174.83/154.03
  6. Step 6: Final answer
    x = 897.06

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.