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Finding the Third Proportional to 203,796 and 299,430

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Solution

The third proportional to 203,796 and 299,430 is: 439,941.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,796 : 299,430 = 299,430 : x
  2. Step 2: Convert to fraction form
    203,796/299,430 = 299,430/x
  3. Step 3: Cross multiply
    203,796x = 299,430 × 299,430
  4. Step 4: Simplify right side
    203,796x = 89,658,324,900
  5. Step 5: Solve for x
    x = 89,658,324,900/203,796
  6. Step 6: Final answer
    x = 439,941.53

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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.