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Finding the Third Proportional to 182,298 and 275,965

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Solution

The third proportional to 182,298 and 275,965 is: 417,759.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,298 : 275,965 = 275,965 : x
  2. Step 2: Convert to fraction form
    182,298/275,965 = 275,965/x
  3. Step 3: Cross multiply
    182,298x = 275,965 × 275,965
  4. Step 4: Simplify right side
    182,298x = 76,156,681,225
  5. Step 5: Solve for x
    x = 76,156,681,225/182,298
  6. Step 6: Final answer
    x = 417,759.28

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Why These Related Problems?

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