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Finding the Third Proportional to 131,385.75 and 200,359.50

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Solution

The third proportional to 131,385.75 and 200,359.50 is: 305,542.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,385.75 : 200,359.50 = 200,359.50 : x
  2. Step 2: Convert to fraction form
    131,385.75/200,359.50 = 200,359.50/x
  3. Step 3: Cross multiply
    131,385.75x = 200,359.50 × 200,359.50
  4. Step 4: Simplify right side
    131,385.75x = 40,143,929,240.25
  5. Step 5: Solve for x
    x = 40,143,929,240.25/131,385.75
  6. Step 6: Final answer
    x = 305,542.49

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.