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Finding the Third Proportional to 111,224 and 239,943.50

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Solution

The third proportional to 111,224 and 239,943.50 is: 517,630.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,224 : 239,943.50 = 239,943.50 : x
  2. Step 2: Convert to fraction form
    111,224/239,943.50 = 239,943.50/x
  3. Step 3: Cross multiply
    111,224x = 239,943.50 × 239,943.50
  4. Step 4: Simplify right side
    111,224x = 57,572,883,192.25
  5. Step 5: Solve for x
    x = 57,572,883,192.25/111,224
  6. Step 6: Final answer
    x = 517,630.04

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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.