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Finding the Third Proportional to 241,108 and 525,064

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Solution

The third proportional to 241,108 and 525,064 is: 1,143,438.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,108 : 525,064 = 525,064 : x
  2. Step 2: Convert to fraction form
    241,108/525,064 = 525,064/x
  3. Step 3: Cross multiply
    241,108x = 525,064 × 525,064
  4. Step 4: Simplify right side
    241,108x = 275,692,204,096
  5. Step 5: Solve for x
    x = 275,692,204,096/241,108
  6. Step 6: Final answer
    x = 1,143,438.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.