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Finding the Third Proportional to 241,852 and 525,131

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Solution

The third proportional to 241,852 and 525,131 is: 1,140,212.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,852 : 525,131 = 525,131 : x
  2. Step 2: Convert to fraction form
    241,852/525,131 = 525,131/x
  3. Step 3: Cross multiply
    241,852x = 525,131 × 525,131
  4. Step 4: Simplify right side
    241,852x = 275,762,567,161
  5. Step 5: Solve for x
    x = 275,762,567,161/241,852
  6. Step 6: Final answer
    x = 1,140,212.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.