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Finding the Third Proportional to 156.18 and 238.40

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Solution

The third proportional to 156.18 and 238.40 is: 363.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.18 : 238.40 = 238.40 : x
  2. Step 2: Convert to fraction form
    156.18/238.40 = 238.40/x
  3. Step 3: Cross multiply
    156.18x = 238.40 × 238.40
  4. Step 4: Simplify right side
    156.18x = 56,835.62
  5. Step 5: Solve for x
    x = 56,835.62/156.18
  6. Step 6: Final answer
    x = 363.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.