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Finding the Third Proportional to 187,601 and 268,251.50

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Solution

The third proportional to 187,601 and 268,251.50 is: 383,574.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,601 : 268,251.50 = 268,251.50 : x
  2. Step 2: Convert to fraction form
    187,601/268,251.50 = 268,251.50/x
  3. Step 3: Cross multiply
    187,601x = 268,251.50 × 268,251.50
  4. Step 4: Simplify right side
    187,601x = 71,958,867,252.25
  5. Step 5: Solve for x
    x = 71,958,867,252.25/187,601
  6. Step 6: Final answer
    x = 383,574.01

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.