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Finding the Third Proportional to 239,761.50 and 524,676

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Solution

The third proportional to 239,761.50 and 524,676 is: 1,148,161.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,761.50 : 524,676 = 524,676 : x
  2. Step 2: Convert to fraction form
    239,761.50/524,676 = 524,676/x
  3. Step 3: Cross multiply
    239,761.50x = 524,676 × 524,676
  4. Step 4: Simplify right side
    239,761.50x = 275,284,904,976
  5. Step 5: Solve for x
    x = 275,284,904,976/239,761.50
  6. Step 6: Final answer
    x = 1,148,161.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.