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Finding the Third Proportional to 109,697 and 239,698

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Solution

The third proportional to 109,697 and 239,698 is: 523,762.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,697 : 239,698 = 239,698 : x
  2. Step 2: Convert to fraction form
    109,697/239,698 = 239,698/x
  3. Step 3: Cross multiply
    109,697x = 239,698 × 239,698
  4. Step 4: Simplify right side
    109,697x = 57,455,131,204
  5. Step 5: Solve for x
    x = 57,455,131,204/109,697
  6. Step 6: Final answer
    x = 523,762.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.