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Finding the Third Proportional to 239,956 and 525,110

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Solution

The third proportional to 239,956 and 525,110 is: 1,149,129.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,956 : 525,110 = 525,110 : x
  2. Step 2: Convert to fraction form
    239,956/525,110 = 525,110/x
  3. Step 3: Cross multiply
    239,956x = 525,110 × 525,110
  4. Step 4: Simplify right side
    239,956x = 275,740,512,100
  5. Step 5: Solve for x
    x = 275,740,512,100/239,956
  6. Step 6: Final answer
    x = 1,149,129.47

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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.