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Finding the Third Proportional to 109,647 and 239,583

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Solution

The third proportional to 109,647 and 239,583 is: 523,498.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,647 : 239,583 = 239,583 : x
  2. Step 2: Convert to fraction form
    109,647/239,583 = 239,583/x
  3. Step 3: Cross multiply
    109,647x = 239,583 × 239,583
  4. Step 4: Simplify right side
    109,647x = 57,400,013,889
  5. Step 5: Solve for x
    x = 57,400,013,889/109,647
  6. Step 6: Final answer
    x = 523,498.26

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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.