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Finding the Third Proportional to 188,699 and 275,271

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Solution

The third proportional to 188,699 and 275,271 is: 401,560.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,699 : 275,271 = 275,271 : x
  2. Step 2: Convert to fraction form
    188,699/275,271 = 275,271/x
  3. Step 3: Cross multiply
    188,699x = 275,271 × 275,271
  4. Step 4: Simplify right side
    188,699x = 75,774,123,441
  5. Step 5: Solve for x
    x = 75,774,123,441/188,699
  6. Step 6: Final answer
    x = 401,560.81

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.