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Finding the Third Proportional to 198,075 and 386,227.50

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Solution

The third proportional to 198,075 and 386,227.50 is: 753,107.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,075 : 386,227.50 = 386,227.50 : x
  2. Step 2: Convert to fraction form
    198,075/386,227.50 = 386,227.50/x
  3. Step 3: Cross multiply
    198,075x = 386,227.50 × 386,227.50
  4. Step 4: Simplify right side
    198,075x = 149,171,681,756.25
  5. Step 5: Solve for x
    x = 149,171,681,756.25/198,075
  6. Step 6: Final answer
    x = 753,107.06

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.