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Finding the Third Proportional to 220,401 and 480,168

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Solution

The third proportional to 220,401 and 480,168 is: 1,046,099.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,401 : 480,168 = 480,168 : x
  2. Step 2: Convert to fraction form
    220,401/480,168 = 480,168/x
  3. Step 3: Cross multiply
    220,401x = 480,168 × 480,168
  4. Step 4: Simplify right side
    220,401x = 230,561,308,224
  5. Step 5: Solve for x
    x = 230,561,308,224/220,401
  6. Step 6: Final answer
    x = 1,046,099.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.