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Finding the Third Proportional to 203,888 and 299,824

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Solution

The third proportional to 203,888 and 299,824 is: 440,901.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,888 : 299,824 = 299,824 : x
  2. Step 2: Convert to fraction form
    203,888/299,824 = 299,824/x
  3. Step 3: Cross multiply
    203,888x = 299,824 × 299,824
  4. Step 4: Simplify right side
    203,888x = 89,894,430,976
  5. Step 5: Solve for x
    x = 89,894,430,976/203,888
  6. Step 6: Final answer
    x = 440,901.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.