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Finding the Third Proportional to 131,760 and 284,208

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Solution

The third proportional to 131,760 and 284,208 is: 613,040.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,760 : 284,208 = 284,208 : x
  2. Step 2: Convert to fraction form
    131,760/284,208 = 284,208/x
  3. Step 3: Cross multiply
    131,760x = 284,208 × 284,208
  4. Step 4: Simplify right side
    131,760x = 80,774,187,264
  5. Step 5: Solve for x
    x = 80,774,187,264/131,760
  6. Step 6: Final answer
    x = 613,040.28

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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.