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Finding the Third Proportional to 193,997.50 and 418,577

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Solution

The third proportional to 193,997.50 and 418,577 is: 903,138.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,997.50 : 418,577 = 418,577 : x
  2. Step 2: Convert to fraction form
    193,997.50/418,577 = 418,577/x
  3. Step 3: Cross multiply
    193,997.50x = 418,577 × 418,577
  4. Step 4: Simplify right side
    193,997.50x = 175,206,704,929
  5. Step 5: Solve for x
    x = 175,206,704,929/193,997.50
  6. Step 6: Final answer
    x = 903,138.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.