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Finding the Third Proportional to 159,624 and 238,051

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Solution

The third proportional to 159,624 and 238,051 is: 355,011.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,624 : 238,051 = 238,051 : x
  2. Step 2: Convert to fraction form
    159,624/238,051 = 238,051/x
  3. Step 3: Cross multiply
    159,624x = 238,051 × 238,051
  4. Step 4: Simplify right side
    159,624x = 56,668,278,601
  5. Step 5: Solve for x
    x = 56,668,278,601/159,624
  6. Step 6: Final answer
    x = 355,011.02

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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.