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Finding the Third Proportional to 182,298 and 275,965.50

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Solution

The third proportional to 182,298 and 275,965.50 is: 417,760.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,298 : 275,965.50 = 275,965.50 : x
  2. Step 2: Convert to fraction form
    182,298/275,965.50 = 275,965.50/x
  3. Step 3: Cross multiply
    182,298x = 275,965.50 × 275,965.50
  4. Step 4: Simplify right side
    182,298x = 76,156,957,190.25
  5. Step 5: Solve for x
    x = 76,156,957,190.25/182,298
  6. Step 6: Final answer
    x = 417,760.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.