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Finding the Third Proportional to 111,462.75 and 242,608.50

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Solution

The third proportional to 111,462.75 and 242,608.50 is: 528,058.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,462.75 : 242,608.50 = 242,608.50 : x
  2. Step 2: Convert to fraction form
    111,462.75/242,608.50 = 242,608.50/x
  3. Step 3: Cross multiply
    111,462.75x = 242,608.50 × 242,608.50
  4. Step 4: Simplify right side
    111,462.75x = 58,858,884,272.25
  5. Step 5: Solve for x
    x = 58,858,884,272.25/111,462.75
  6. Step 6: Final answer
    x = 528,058.78

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.