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Finding the Third Proportional to 202,392 and 444,150

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Solution

The third proportional to 202,392 and 444,150 is: 974,688.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,392 : 444,150 = 444,150 : x
  2. Step 2: Convert to fraction form
    202,392/444,150 = 444,150/x
  3. Step 3: Cross multiply
    202,392x = 444,150 × 444,150
  4. Step 4: Simplify right side
    202,392x = 197,269,222,500
  5. Step 5: Solve for x
    x = 197,269,222,500/202,392
  6. Step 6: Final answer
    x = 974,688.83

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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.