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Finding the Third Proportional to 110,962.50 and 239,661

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Solution

The third proportional to 110,962.50 and 239,661 is: 517,628.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,962.50 : 239,661 = 239,661 : x
  2. Step 2: Convert to fraction form
    110,962.50/239,661 = 239,661/x
  3. Step 3: Cross multiply
    110,962.50x = 239,661 × 239,661
  4. Step 4: Simplify right side
    110,962.50x = 57,437,394,921
  5. Step 5: Solve for x
    x = 57,437,394,921/110,962.50
  6. Step 6: Final answer
    x = 517,628.88

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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.