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Finding the Third Proportional to 190,483 and 284,790

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Solution

The third proportional to 190,483 and 284,790 is: 425,787.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,483 : 284,790 = 284,790 : x
  2. Step 2: Convert to fraction form
    190,483/284,790 = 284,790/x
  3. Step 3: Cross multiply
    190,483x = 284,790 × 284,790
  4. Step 4: Simplify right side
    190,483x = 81,105,344,100
  5. Step 5: Solve for x
    x = 81,105,344,100/190,483
  6. Step 6: Final answer
    x = 425,787.83

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Why These Related Problems?

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