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Finding the Third Proportional to 131,772 and 284,274

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Solution

The third proportional to 131,772 and 284,274 is: 613,269.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,772 : 284,274 = 284,274 : x
  2. Step 2: Convert to fraction form
    131,772/284,274 = 284,274/x
  3. Step 3: Cross multiply
    131,772x = 284,274 × 284,274
  4. Step 4: Simplify right side
    131,772x = 80,811,707,076
  5. Step 5: Solve for x
    x = 80,811,707,076/131,772
  6. Step 6: Final answer
    x = 613,269.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.