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Finding the Third Proportional to 202,366 and 444,098

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Solution

The third proportional to 202,366 and 444,098 is: 974,585.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,366 : 444,098 = 444,098 : x
  2. Step 2: Convert to fraction form
    202,366/444,098 = 444,098/x
  3. Step 3: Cross multiply
    202,366x = 444,098 × 444,098
  4. Step 4: Simplify right side
    202,366x = 197,223,033,604
  5. Step 5: Solve for x
    x = 197,223,033,604/202,366
  6. Step 6: Final answer
    x = 974,585.82

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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.