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Finding the Third Proportional to 119,243 and 248,214

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Solution

The third proportional to 119,243 and 248,214 is: 516,677.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,243 : 248,214 = 248,214 : x
  2. Step 2: Convert to fraction form
    119,243/248,214 = 248,214/x
  3. Step 3: Cross multiply
    119,243x = 248,214 × 248,214
  4. Step 4: Simplify right side
    119,243x = 61,610,189,796
  5. Step 5: Solve for x
    x = 61,610,189,796/119,243
  6. Step 6: Final answer
    x = 516,677.62

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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.