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Finding the Third Proportional to 182,048 and 284,962

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Solution

The third proportional to 182,048 and 284,962 is: 446,054.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,048 : 284,962 = 284,962 : x
  2. Step 2: Convert to fraction form
    182,048/284,962 = 284,962/x
  3. Step 3: Cross multiply
    182,048x = 284,962 × 284,962
  4. Step 4: Simplify right side
    182,048x = 81,203,341,444
  5. Step 5: Solve for x
    x = 81,203,341,444/182,048
  6. Step 6: Final answer
    x = 446,054.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.