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Finding the Third Proportional to 193,689 and 418,499.25

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Solution

The third proportional to 193,689 and 418,499.25 is: 904,241.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,689 : 418,499.25 = 418,499.25 : x
  2. Step 2: Convert to fraction form
    193,689/418,499.25 = 418,499.25/x
  3. Step 3: Cross multiply
    193,689x = 418,499.25 × 418,499.25
  4. Step 4: Simplify right side
    193,689x = 175,141,622,250.56
  5. Step 5: Solve for x
    x = 175,141,622,250.56/193,689
  6. Step 6: Final answer
    x = 904,241.45

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