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Finding the Third Proportional to 220,664 and 330,924

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Solution

The third proportional to 220,664 and 330,924 is: 496,278.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,664 : 330,924 = 330,924 : x
  2. Step 2: Convert to fraction form
    220,664/330,924 = 330,924/x
  3. Step 3: Cross multiply
    220,664x = 330,924 × 330,924
  4. Step 4: Simplify right side
    220,664x = 109,510,693,776
  5. Step 5: Solve for x
    x = 109,510,693,776/220,664
  6. Step 6: Final answer
    x = 496,278.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.