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Finding the Third Proportional to 182,814 and 276,165

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Solution

The third proportional to 182,814 and 276,165 is: 417,184.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,814 : 276,165 = 276,165 : x
  2. Step 2: Convert to fraction form
    182,814/276,165 = 276,165/x
  3. Step 3: Cross multiply
    182,814x = 276,165 × 276,165
  4. Step 4: Simplify right side
    182,814x = 76,267,107,225
  5. Step 5: Solve for x
    x = 76,267,107,225/182,814
  6. Step 6: Final answer
    x = 417,184.17

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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.