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Finding the Third Proportional to 198,075 and 426,950

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Solution

The third proportional to 198,075 and 426,950 is: 920,289.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,075 : 426,950 = 426,950 : x
  2. Step 2: Convert to fraction form
    198,075/426,950 = 426,950/x
  3. Step 3: Cross multiply
    198,075x = 426,950 × 426,950
  4. Step 4: Simplify right side
    198,075x = 182,286,302,500
  5. Step 5: Solve for x
    x = 182,286,302,500/198,075
  6. Step 6: Final answer
    x = 920,289.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.