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Finding the Third Proportional to 239,967 and 525,126

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Solution

The third proportional to 239,967 and 525,126 is: 1,149,146.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,967 : 525,126 = 525,126 : x
  2. Step 2: Convert to fraction form
    239,967/525,126 = 525,126/x
  3. Step 3: Cross multiply
    239,967x = 525,126 × 525,126
  4. Step 4: Simplify right side
    239,967x = 275,757,315,876
  5. Step 5: Solve for x
    x = 275,757,315,876/239,967
  6. Step 6: Final answer
    x = 1,149,146.82

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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.