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Finding the Third Proportional to 111,640 and 240,772

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Solution

The third proportional to 111,640 and 240,772 is: 519,268.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,640 : 240,772 = 240,772 : x
  2. Step 2: Convert to fraction form
    111,640/240,772 = 240,772/x
  3. Step 3: Cross multiply
    111,640x = 240,772 × 240,772
  4. Step 4: Simplify right side
    111,640x = 57,971,155,984
  5. Step 5: Solve for x
    x = 57,971,155,984/111,640
  6. Step 6: Final answer
    x = 519,268.68

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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.