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Finding the Third Proportional to 119,218 and 248,228

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Solution

The third proportional to 119,218 and 248,228 is: 516,844.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,218 : 248,228 = 248,228 : x
  2. Step 2: Convert to fraction form
    119,218/248,228 = 248,228/x
  3. Step 3: Cross multiply
    119,218x = 248,228 × 248,228
  4. Step 4: Simplify right side
    119,218x = 61,617,139,984
  5. Step 5: Solve for x
    x = 61,617,139,984/119,218
  6. Step 6: Final answer
    x = 516,844.27

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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.