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Finding the Third Proportional to 159,619.50 and 238,044.75

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Solution

The third proportional to 159,619.50 and 238,044.75 is: 355,002.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,619.50 : 238,044.75 = 238,044.75 : x
  2. Step 2: Convert to fraction form
    159,619.50/238,044.75 = 238,044.75/x
  3. Step 3: Cross multiply
    159,619.50x = 238,044.75 × 238,044.75
  4. Step 4: Simplify right side
    159,619.50x = 56,665,303,002.56
  5. Step 5: Solve for x
    x = 56,665,303,002.56/159,619.50
  6. Step 6: Final answer
    x = 355,002.38

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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.