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Finding the Third Proportional to 109,824 and 232,608

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Solution

The third proportional to 109,824 and 232,608 is: 492,665.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,824 : 232,608 = 232,608 : x
  2. Step 2: Convert to fraction form
    109,824/232,608 = 232,608/x
  3. Step 3: Cross multiply
    109,824x = 232,608 × 232,608
  4. Step 4: Simplify right side
    109,824x = 54,106,481,664
  5. Step 5: Solve for x
    x = 54,106,481,664/109,824
  6. Step 6: Final answer
    x = 492,665.37

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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.