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Finding the Third Proportional to 200,691 and 275,143.50

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Solution

The third proportional to 200,691 and 275,143.50 is: 377,216.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,691 : 275,143.50 = 275,143.50 : x
  2. Step 2: Convert to fraction form
    200,691/275,143.50 = 275,143.50/x
  3. Step 3: Cross multiply
    200,691x = 275,143.50 × 275,143.50
  4. Step 4: Simplify right side
    200,691x = 75,703,945,592.25
  5. Step 5: Solve for x
    x = 75,703,945,592.25/200,691
  6. Step 6: Final answer
    x = 377,216.45

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.