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Finding the Third Proportional to 159,408 and 238,805

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Solution

The third proportional to 159,408 and 238,805 is: 357,747.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,408 : 238,805 = 238,805 : x
  2. Step 2: Convert to fraction form
    159,408/238,805 = 238,805/x
  3. Step 3: Cross multiply
    159,408x = 238,805 × 238,805
  4. Step 4: Simplify right side
    159,408x = 57,027,828,025
  5. Step 5: Solve for x
    x = 57,027,828,025/159,408
  6. Step 6: Final answer
    x = 357,747.59

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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.