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Finding the Third Proportional to 159,843 and 238,670

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Solution

The third proportional to 159,843 and 238,670 is: 356,370.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,843 : 238,670 = 238,670 : x
  2. Step 2: Convert to fraction form
    159,843/238,670 = 238,670/x
  3. Step 3: Cross multiply
    159,843x = 238,670 × 238,670
  4. Step 4: Simplify right side
    159,843x = 56,963,368,900
  5. Step 5: Solve for x
    x = 56,963,368,900/159,843
  6. Step 6: Final answer
    x = 356,370.74

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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.