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Finding the Third Proportional to 182,892 and 274,336

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Solution

The third proportional to 182,892 and 274,336 is: 411,501.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,892 : 274,336 = 274,336 : x
  2. Step 2: Convert to fraction form
    182,892/274,336 = 274,336/x
  3. Step 3: Cross multiply
    182,892x = 274,336 × 274,336
  4. Step 4: Simplify right side
    182,892x = 75,260,240,896
  5. Step 5: Solve for x
    x = 75,260,240,896/182,892
  6. Step 6: Final answer
    x = 411,501.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.