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Finding the Third Proportional to 111,415.97 and 240,157.09

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Solution

The third proportional to 111,415.97 and 240,157.09 is: 517,658.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,415.97 : 240,157.09 = 240,157.09 : x
  2. Step 2: Convert to fraction form
    111,415.97/240,157.09 = 240,157.09/x
  3. Step 3: Cross multiply
    111,415.97x = 240,157.09 × 240,157.09
  4. Step 4: Simplify right side
    111,415.97x = 57,675,427,802.22
  5. Step 5: Solve for x
    x = 57,675,427,802.22/111,415.97
  6. Step 6: Final answer
    x = 517,658.51

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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.