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Finding the Third Proportional to 159,473.50 and 250,198.50

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Solution

The third proportional to 159,473.50 and 250,198.50 is: 392,537.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,473.50 : 250,198.50 = 250,198.50 : x
  2. Step 2: Convert to fraction form
    159,473.50/250,198.50 = 250,198.50/x
  3. Step 3: Cross multiply
    159,473.50x = 250,198.50 × 250,198.50
  4. Step 4: Simplify right side
    159,473.50x = 62,599,289,402.25
  5. Step 5: Solve for x
    x = 62,599,289,402.25/159,473.50
  6. Step 6: Final answer
    x = 392,537.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.