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Finding the Third Proportional to 193,015.13 and 278,451

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Solution

The third proportional to 193,015.13 and 278,451 is: 401,704.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,015.13 : 278,451 = 278,451 : x
  2. Step 2: Convert to fraction form
    193,015.13/278,451 = 278,451/x
  3. Step 3: Cross multiply
    193,015.13x = 278,451 × 278,451
  4. Step 4: Simplify right side
    193,015.13x = 77,534,959,401
  5. Step 5: Solve for x
    x = 77,534,959,401/193,015.13
  6. Step 6: Final answer
    x = 401,704.06

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.