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Finding the Third Proportional to 241,876.50 and 378,021

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Solution

The third proportional to 241,876.50 and 378,021 is: 590,796.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,876.50 : 378,021 = 378,021 : x
  2. Step 2: Convert to fraction form
    241,876.50/378,021 = 378,021/x
  3. Step 3: Cross multiply
    241,876.50x = 378,021 × 378,021
  4. Step 4: Simplify right side
    241,876.50x = 142,899,876,441
  5. Step 5: Solve for x
    x = 142,899,876,441/241,876.50
  6. Step 6: Final answer
    x = 590,796.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.