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Finding the Third Proportional to 190,222 and 284,738

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Solution

The third proportional to 190,222 and 284,738 is: 426,216.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,222 : 284,738 = 284,738 : x
  2. Step 2: Convert to fraction form
    190,222/284,738 = 284,738/x
  3. Step 3: Cross multiply
    190,222x = 284,738 × 284,738
  4. Step 4: Simplify right side
    190,222x = 81,075,728,644
  5. Step 5: Solve for x
    x = 81,075,728,644/190,222
  6. Step 6: Final answer
    x = 426,216.36

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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.