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Finding the Third Proportional to 111,962.25 and 241,960.50

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Solution

The third proportional to 111,962.25 and 241,960.50 is: 522,898.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,962.25 : 241,960.50 = 241,960.50 : x
  2. Step 2: Convert to fraction form
    111,962.25/241,960.50 = 241,960.50/x
  3. Step 3: Cross multiply
    111,962.25x = 241,960.50 × 241,960.50
  4. Step 4: Simplify right side
    111,962.25x = 58,544,883,560.25
  5. Step 5: Solve for x
    x = 58,544,883,560.25/111,962.25
  6. Step 6: Final answer
    x = 522,898.42

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