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Finding the Third Proportional to 111,918 and 240,400.50

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Solution

The third proportional to 111,918 and 240,400.50 is: 516,381.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,918 : 240,400.50 = 240,400.50 : x
  2. Step 2: Convert to fraction form
    111,918/240,400.50 = 240,400.50/x
  3. Step 3: Cross multiply
    111,918x = 240,400.50 × 240,400.50
  4. Step 4: Simplify right side
    111,918x = 57,792,400,400.25
  5. Step 5: Solve for x
    x = 57,792,400,400.25/111,918
  6. Step 6: Final answer
    x = 516,381.64

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.