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Finding the Third Proportional to 223,471 and 330,858

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Solution

The third proportional to 223,471 and 330,858 is: 489,848.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,471 : 330,858 = 330,858 : x
  2. Step 2: Convert to fraction form
    223,471/330,858 = 330,858/x
  3. Step 3: Cross multiply
    223,471x = 330,858 × 330,858
  4. Step 4: Simplify right side
    223,471x = 109,467,016,164
  5. Step 5: Solve for x
    x = 109,467,016,164/223,471
  6. Step 6: Final answer
    x = 489,848.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.