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Finding the Third Proportional to 190,773.50 and 376,745.50

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Solution

The third proportional to 190,773.50 and 376,745.50 is: 744,008.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,773.50 : 376,745.50 = 376,745.50 : x
  2. Step 2: Convert to fraction form
    190,773.50/376,745.50 = 376,745.50/x
  3. Step 3: Cross multiply
    190,773.50x = 376,745.50 × 376,745.50
  4. Step 4: Simplify right side
    190,773.50x = 141,937,171,770.25
  5. Step 5: Solve for x
    x = 141,937,171,770.25/190,773.50
  6. Step 6: Final answer
    x = 744,008.85

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.