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Finding the Third Proportional to 189,696 and 284,049

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Solution

The third proportional to 189,696 and 284,049 is: 425,332.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,696 : 284,049 = 284,049 : x
  2. Step 2: Convert to fraction form
    189,696/284,049 = 284,049/x
  3. Step 3: Cross multiply
    189,696x = 284,049 × 284,049
  4. Step 4: Simplify right side
    189,696x = 80,683,834,401
  5. Step 5: Solve for x
    x = 80,683,834,401/189,696
  6. Step 6: Final answer
    x = 425,332.29

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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.