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Finding the Third Proportional to 202,881 and 444,036

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Solution

The third proportional to 202,881 and 444,036 is: 971,840.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,881 : 444,036 = 444,036 : x
  2. Step 2: Convert to fraction form
    202,881/444,036 = 444,036/x
  3. Step 3: Cross multiply
    202,881x = 444,036 × 444,036
  4. Step 4: Simplify right side
    202,881x = 197,167,969,296
  5. Step 5: Solve for x
    x = 197,167,969,296/202,881
  6. Step 6: Final answer
    x = 971,840.48

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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.