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Finding the Third Proportional to 190,234 and 284,756

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Solution

The third proportional to 190,234 and 284,756 is: 426,243.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,234 : 284,756 = 284,756 : x
  2. Step 2: Convert to fraction form
    190,234/284,756 = 284,756/x
  3. Step 3: Cross multiply
    190,234x = 284,756 × 284,756
  4. Step 4: Simplify right side
    190,234x = 81,085,979,536
  5. Step 5: Solve for x
    x = 81,085,979,536/190,234
  6. Step 6: Final answer
    x = 426,243.36

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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.