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Finding the Third Proportional to 103.46 and 157.04

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Solution

The third proportional to 103.46 and 157.04 is: 238.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.46 : 157.04 = 157.04 : x
  2. Step 2: Convert to fraction form
    103.46/157.04 = 157.04/x
  3. Step 3: Cross multiply
    103.46x = 157.04 × 157.04
  4. Step 4: Simplify right side
    103.46x = 24,662.49
  5. Step 5: Solve for x
    x = 24,662.49/103.46
  6. Step 6: Final answer
    x = 238.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.