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Finding the Third Proportional to 241,711.50 and 531,753

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Solution

The third proportional to 241,711.50 and 531,753 is: 1,169,829.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,711.50 : 531,753 = 531,753 : x
  2. Step 2: Convert to fraction form
    241,711.50/531,753 = 531,753/x
  3. Step 3: Cross multiply
    241,711.50x = 531,753 × 531,753
  4. Step 4: Simplify right side
    241,711.50x = 282,761,253,009
  5. Step 5: Solve for x
    x = 282,761,253,009/241,711.50
  6. Step 6: Final answer
    x = 1,169,829.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.