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Finding the Third Proportional to 111,651 and 240,793.50

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Solution

The third proportional to 111,651 and 240,793.50 is: 519,310.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,651 : 240,793.50 = 240,793.50 : x
  2. Step 2: Convert to fraction form
    111,651/240,793.50 = 240,793.50/x
  3. Step 3: Cross multiply
    111,651x = 240,793.50 × 240,793.50
  4. Step 4: Simplify right side
    111,651x = 57,981,509,642.25
  5. Step 5: Solve for x
    x = 57,981,509,642.25/111,651
  6. Step 6: Final answer
    x = 519,310.26

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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.