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Finding the Third Proportional to 156.47 and 222.42

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Solution

The third proportional to 156.47 and 222.42 is: 316.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.47 : 222.42 = 222.42 : x
  2. Step 2: Convert to fraction form
    156.47/222.42 = 222.42/x
  3. Step 3: Cross multiply
    156.47x = 222.42 × 222.42
  4. Step 4: Simplify right side
    156.47x = 49,471.49
  5. Step 5: Solve for x
    x = 49,471.49/156.47
  6. Step 6: Final answer
    x = 316.17

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.