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Finding the Third Proportional to 250,920 and 541,242

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Solution

The third proportional to 250,920 and 541,242 is: 1,167,475.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,920 : 541,242 = 541,242 : x
  2. Step 2: Convert to fraction form
    250,920/541,242 = 541,242/x
  3. Step 3: Cross multiply
    250,920x = 541,242 × 541,242
  4. Step 4: Simplify right side
    250,920x = 292,942,902,564
  5. Step 5: Solve for x
    x = 292,942,902,564/250,920
  6. Step 6: Final answer
    x = 1,167,475.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.