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Finding the Third Proportional to 200,542.50 and 347,439

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Solution

The third proportional to 200,542.50 and 347,439 is: 601,936.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,542.50 : 347,439 = 347,439 : x
  2. Step 2: Convert to fraction form
    200,542.50/347,439 = 347,439/x
  3. Step 3: Cross multiply
    200,542.50x = 347,439 × 347,439
  4. Step 4: Simplify right side
    200,542.50x = 120,713,858,721
  5. Step 5: Solve for x
    x = 120,713,858,721/200,542.50
  6. Step 6: Final answer
    x = 601,936.54

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.