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Finding the Third Proportional to 190,144 and 284,623

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Solution

The third proportional to 190,144 and 284,623 is: 426,046.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,144 : 284,623 = 284,623 : x
  2. Step 2: Convert to fraction form
    190,144/284,623 = 284,623/x
  3. Step 3: Cross multiply
    190,144x = 284,623 × 284,623
  4. Step 4: Simplify right side
    190,144x = 81,010,252,129
  5. Step 5: Solve for x
    x = 81,010,252,129/190,144
  6. Step 6: Final answer
    x = 426,046.85

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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.