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Finding the Third Proportional to 239,346 and 363,993

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Solution

The third proportional to 239,346 and 363,993 is: 553,553.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,346 : 363,993 = 363,993 : x
  2. Step 2: Convert to fraction form
    239,346/363,993 = 363,993/x
  3. Step 3: Cross multiply
    239,346x = 363,993 × 363,993
  4. Step 4: Simplify right side
    239,346x = 132,490,904,049
  5. Step 5: Solve for x
    x = 132,490,904,049/239,346
  6. Step 6: Final answer
    x = 553,553.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.