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Finding the Third Proportional to 113,224 and 239,933

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Solution

The third proportional to 113,224 and 239,933 is: 508,442.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,224 : 239,933 = 239,933 : x
  2. Step 2: Convert to fraction form
    113,224/239,933 = 239,933/x
  3. Step 3: Cross multiply
    113,224x = 239,933 × 239,933
  4. Step 4: Simplify right side
    113,224x = 57,567,844,489
  5. Step 5: Solve for x
    x = 57,567,844,489/113,224
  6. Step 6: Final answer
    x = 508,442.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.