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Finding the Third Proportional to 159,631 and 238,063

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Solution

The third proportional to 159,631 and 238,063 is: 355,031.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,631 : 238,063 = 238,063 : x
  2. Step 2: Convert to fraction form
    159,631/238,063 = 238,063/x
  3. Step 3: Cross multiply
    159,631x = 238,063 × 238,063
  4. Step 4: Simplify right side
    159,631x = 56,673,991,969
  5. Step 5: Solve for x
    x = 56,673,991,969/159,631
  6. Step 6: Final answer
    x = 355,031.24

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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.