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Finding the Third Proportional to 119,021 and 247,906

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Solution

The third proportional to 119,021 and 247,906 is: 516,357.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,021 : 247,906 = 247,906 : x
  2. Step 2: Convert to fraction form
    119,021/247,906 = 247,906/x
  3. Step 3: Cross multiply
    119,021x = 247,906 × 247,906
  4. Step 4: Simplify right side
    119,021x = 61,457,384,836
  5. Step 5: Solve for x
    x = 61,457,384,836/119,021
  6. Step 6: Final answer
    x = 516,357.49

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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.