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Finding the Third Proportional to 190,104 and 284,586.75

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Solution

The third proportional to 190,104 and 284,586.75 is: 426,027.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,104 : 284,586.75 = 284,586.75 : x
  2. Step 2: Convert to fraction form
    190,104/284,586.75 = 284,586.75/x
  3. Step 3: Cross multiply
    190,104x = 284,586.75 × 284,586.75
  4. Step 4: Simplify right side
    190,104x = 80,989,618,275.56
  5. Step 5: Solve for x
    x = 80,989,618,275.56/190,104
  6. Step 6: Final answer
    x = 426,027.95

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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.