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Finding the Third Proportional to 119,197 and 248,195

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Solution

The third proportional to 119,197 and 248,195 is: 516,797.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,197 : 248,195 = 248,195 : x
  2. Step 2: Convert to fraction form
    119,197/248,195 = 248,195/x
  3. Step 3: Cross multiply
    119,197x = 248,195 × 248,195
  4. Step 4: Simplify right side
    119,197x = 61,600,758,025
  5. Step 5: Solve for x
    x = 61,600,758,025/119,197
  6. Step 6: Final answer
    x = 516,797.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.