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Finding the Third Proportional to 223,464 and 330,849

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Solution

The third proportional to 223,464 and 330,849 is: 489,837.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,464 : 330,849 = 330,849 : x
  2. Step 2: Convert to fraction form
    223,464/330,849 = 330,849/x
  3. Step 3: Cross multiply
    223,464x = 330,849 × 330,849
  4. Step 4: Simplify right side
    223,464x = 109,461,060,801
  5. Step 5: Solve for x
    x = 109,461,060,801/223,464
  6. Step 6: Final answer
    x = 489,837.56

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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.