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Finding the Third Proportional to 159,406 and 238,802

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Solution

The third proportional to 159,406 and 238,802 is: 357,743.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,406 : 238,802 = 238,802 : x
  2. Step 2: Convert to fraction form
    159,406/238,802 = 238,802/x
  3. Step 3: Cross multiply
    159,406x = 238,802 × 238,802
  4. Step 4: Simplify right side
    159,406x = 57,026,395,204
  5. Step 5: Solve for x
    x = 57,026,395,204/159,406
  6. Step 6: Final answer
    x = 357,743.09

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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.