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Finding the Third Proportional to 190,775 and 376,748.50

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Solution

The third proportional to 190,775 and 376,748.50 is: 744,014.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,775 : 376,748.50 = 376,748.50 : x
  2. Step 2: Convert to fraction form
    190,775/376,748.50 = 376,748.50/x
  3. Step 3: Cross multiply
    190,775x = 376,748.50 × 376,748.50
  4. Step 4: Simplify right side
    190,775x = 141,939,432,252.25
  5. Step 5: Solve for x
    x = 141,939,432,252.25/190,775
  6. Step 6: Final answer
    x = 744,014.85

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