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Finding the Third Proportional to 109,701 and 239,469

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Solution

The third proportional to 109,701 and 239,469 is: 522,742.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,701 : 239,469 = 239,469 : x
  2. Step 2: Convert to fraction form
    109,701/239,469 = 239,469/x
  3. Step 3: Cross multiply
    109,701x = 239,469 × 239,469
  4. Step 4: Simplify right side
    109,701x = 57,345,401,961
  5. Step 5: Solve for x
    x = 57,345,401,961/109,701
  6. Step 6: Final answer
    x = 522,742.75

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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.