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Finding the Third Proportional to 136,896 and 284,544

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Solution

The third proportional to 136,896 and 284,544 is: 591,436.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,896 : 284,544 = 284,544 : x
  2. Step 2: Convert to fraction form
    136,896/284,544 = 284,544/x
  3. Step 3: Cross multiply
    136,896x = 284,544 × 284,544
  4. Step 4: Simplify right side
    136,896x = 80,965,287,936
  5. Step 5: Solve for x
    x = 80,965,287,936/136,896
  6. Step 6: Final answer
    x = 591,436.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.