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Finding the Third Proportional to 225,820 and 330,250

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Solution

The third proportional to 225,820 and 330,250 is: 482,973.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,820 : 330,250 = 330,250 : x
  2. Step 2: Convert to fraction form
    225,820/330,250 = 330,250/x
  3. Step 3: Cross multiply
    225,820x = 330,250 × 330,250
  4. Step 4: Simplify right side
    225,820x = 109,065,062,500
  5. Step 5: Solve for x
    x = 109,065,062,500/225,820
  6. Step 6: Final answer
    x = 482,973.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.