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Finding the Third Proportional to 171,840 and 369,075

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Solution

The third proportional to 171,840 and 369,075 is: 792,692.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,840 : 369,075 = 369,075 : x
  2. Step 2: Convert to fraction form
    171,840/369,075 = 369,075/x
  3. Step 3: Cross multiply
    171,840x = 369,075 × 369,075
  4. Step 4: Simplify right side
    171,840x = 136,216,355,625
  5. Step 5: Solve for x
    x = 136,216,355,625/171,840
  6. Step 6: Final answer
    x = 792,692.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.