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Finding the Third Proportional to 190,240 and 284,766

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Solution

The third proportional to 190,240 and 284,766 is: 426,259.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,240 : 284,766 = 284,766 : x
  2. Step 2: Convert to fraction form
    190,240/284,766 = 284,766/x
  3. Step 3: Cross multiply
    190,240x = 284,766 × 284,766
  4. Step 4: Simplify right side
    190,240x = 81,091,674,756
  5. Step 5: Solve for x
    x = 81,091,674,756/190,240
  6. Step 6: Final answer
    x = 426,259.85

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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.