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Finding the Third Proportional to 108,224 and 239,803

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Solution

The third proportional to 108,224 and 239,803 is: 531,356.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,224 : 239,803 = 239,803 : x
  2. Step 2: Convert to fraction form
    108,224/239,803 = 239,803/x
  3. Step 3: Cross multiply
    108,224x = 239,803 × 239,803
  4. Step 4: Simplify right side
    108,224x = 57,505,478,809
  5. Step 5: Solve for x
    x = 57,505,478,809/108,224
  6. Step 6: Final answer
    x = 531,356.07

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.