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Finding the Third Proportional to 159,633 and 239,009

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Solution

The third proportional to 159,633 and 239,009 is: 357,853.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,633 : 239,009 = 239,009 : x
  2. Step 2: Convert to fraction form
    159,633/239,009 = 239,009/x
  3. Step 3: Cross multiply
    159,633x = 239,009 × 239,009
  4. Step 4: Simplify right side
    159,633x = 57,125,302,081
  5. Step 5: Solve for x
    x = 57,125,302,081/159,633
  6. Step 6: Final answer
    x = 357,853.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.