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Finding the Third Proportional to 154.03 and 341.91

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Solution

The third proportional to 154.03 and 341.91 is: 758.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.03 : 341.91 = 341.91 : x
  2. Step 2: Convert to fraction form
    154.03/341.91 = 341.91/x
  3. Step 3: Cross multiply
    154.03x = 341.91 × 341.91
  4. Step 4: Simplify right side
    154.03x = 116,899.88
  5. Step 5: Solve for x
    x = 116,899.88/154.03
  6. Step 6: Final answer
    x = 758.94

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.