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Finding the Third Proportional to 187,591.50 and 388,300.50

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Solution

The third proportional to 187,591.50 and 388,300.50 is: 803,753.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,591.50 : 388,300.50 = 388,300.50 : x
  2. Step 2: Convert to fraction form
    187,591.50/388,300.50 = 388,300.50/x
  3. Step 3: Cross multiply
    187,591.50x = 388,300.50 × 388,300.50
  4. Step 4: Simplify right side
    187,591.50x = 150,777,278,300.25
  5. Step 5: Solve for x
    x = 150,777,278,300.25/187,591.50
  6. Step 6: Final answer
    x = 803,753.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.