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Finding the Third Proportional to 182,298 and 275,967

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Solution

The third proportional to 182,298 and 275,967 is: 417,765.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,298 : 275,967 = 275,967 : x
  2. Step 2: Convert to fraction form
    182,298/275,967 = 275,967/x
  3. Step 3: Cross multiply
    182,298x = 275,967 × 275,967
  4. Step 4: Simplify right side
    182,298x = 76,157,785,089
  5. Step 5: Solve for x
    x = 76,157,785,089/182,298
  6. Step 6: Final answer
    x = 417,765.34

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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.