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Finding the Third Proportional to 241,243.31 and 515,617.31

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Solution

The third proportional to 241,243.31 and 515,617.31 is: 1,102,045.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,243.31 : 515,617.31 = 515,617.31 : x
  2. Step 2: Convert to fraction form
    241,243.31/515,617.31 = 515,617.31/x
  3. Step 3: Cross multiply
    241,243.31x = 515,617.31 × 515,617.31
  4. Step 4: Simplify right side
    241,243.31x = 265,861,212,949.72
  5. Step 5: Solve for x
    x = 265,861,212,949.72/241,243.31
  6. Step 6: Final answer
    x = 1,102,045.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.