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Finding the Third Proportional to 111,772 and 240,968

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Solution

The third proportional to 111,772 and 240,968 is: 519,500.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,772 : 240,968 = 240,968 : x
  2. Step 2: Convert to fraction form
    111,772/240,968 = 240,968/x
  3. Step 3: Cross multiply
    111,772x = 240,968 × 240,968
  4. Step 4: Simplify right side
    111,772x = 58,065,577,024
  5. Step 5: Solve for x
    x = 58,065,577,024/111,772
  6. Step 6: Final answer
    x = 519,500.21

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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.