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Finding the Third Proportional to 109,760 and 239,608

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Solution

The third proportional to 109,760 and 239,608 is: 523,068.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,760 : 239,608 = 239,608 : x
  2. Step 2: Convert to fraction form
    109,760/239,608 = 239,608/x
  3. Step 3: Cross multiply
    109,760x = 239,608 × 239,608
  4. Step 4: Simplify right side
    109,760x = 57,411,993,664
  5. Step 5: Solve for x
    x = 57,411,993,664/109,760
  6. Step 6: Final answer
    x = 523,068.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.