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Finding the Third Proportional to 193,444 and 295,891

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Solution

The third proportional to 193,444 and 295,891 is: 452,593.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,444 : 295,891 = 295,891 : x
  2. Step 2: Convert to fraction form
    193,444/295,891 = 295,891/x
  3. Step 3: Cross multiply
    193,444x = 295,891 × 295,891
  4. Step 4: Simplify right side
    193,444x = 87,551,483,881
  5. Step 5: Solve for x
    x = 87,551,483,881/193,444
  6. Step 6: Final answer
    x = 452,593.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.