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Finding the Third Proportional to 190,473 and 284,775

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Solution

The third proportional to 190,473 and 284,775 is: 425,765.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,473 : 284,775 = 284,775 : x
  2. Step 2: Convert to fraction form
    190,473/284,775 = 284,775/x
  3. Step 3: Cross multiply
    190,473x = 284,775 × 284,775
  4. Step 4: Simplify right side
    190,473x = 81,096,800,625
  5. Step 5: Solve for x
    x = 81,096,800,625/190,473
  6. Step 6: Final answer
    x = 425,765.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.