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Finding the Third Proportional to 190,100 and 284,579

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Solution

The third proportional to 190,100 and 284,579 is: 426,013.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,100 : 284,579 = 284,579 : x
  2. Step 2: Convert to fraction form
    190,100/284,579 = 284,579/x
  3. Step 3: Cross multiply
    190,100x = 284,579 × 284,579
  4. Step 4: Simplify right side
    190,100x = 80,985,207,241
  5. Step 5: Solve for x
    x = 80,985,207,241/190,100
  6. Step 6: Final answer
    x = 426,013.72

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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.