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Finding the Third Proportional to 119,284 and 182,670

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Solution

The third proportional to 119,284 and 182,670 is: 279,738.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,284 : 182,670 = 182,670 : x
  2. Step 2: Convert to fraction form
    119,284/182,670 = 182,670/x
  3. Step 3: Cross multiply
    119,284x = 182,670 × 182,670
  4. Step 4: Simplify right side
    119,284x = 33,368,328,900
  5. Step 5: Solve for x
    x = 33,368,328,900/119,284
  6. Step 6: Final answer
    x = 279,738.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.