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Finding the Third Proportional to 202,401 and 444,168

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Solution

The third proportional to 202,401 and 444,168 is: 974,724.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,401 : 444,168 = 444,168 : x
  2. Step 2: Convert to fraction form
    202,401/444,168 = 444,168/x
  3. Step 3: Cross multiply
    202,401x = 444,168 × 444,168
  4. Step 4: Simplify right side
    202,401x = 197,285,212,224
  5. Step 5: Solve for x
    x = 197,285,212,224/202,401
  6. Step 6: Final answer
    x = 974,724.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.