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Finding the Third Proportional to 159,928 and 239,012

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Solution

The third proportional to 159,928 and 239,012 is: 357,202.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,928 : 239,012 = 239,012 : x
  2. Step 2: Convert to fraction form
    159,928/239,012 = 239,012/x
  3. Step 3: Cross multiply
    159,928x = 239,012 × 239,012
  4. Step 4: Simplify right side
    159,928x = 57,126,736,144
  5. Step 5: Solve for x
    x = 57,126,736,144/159,928
  6. Step 6: Final answer
    x = 357,202.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.