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Finding the Third Proportional to 109,227 and 237,669

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Solution

The third proportional to 109,227 and 237,669 is: 517,148.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,227 : 237,669 = 237,669 : x
  2. Step 2: Convert to fraction form
    109,227/237,669 = 237,669/x
  3. Step 3: Cross multiply
    109,227x = 237,669 × 237,669
  4. Step 4: Simplify right side
    109,227x = 56,486,553,561
  5. Step 5: Solve for x
    x = 56,486,553,561/109,227
  6. Step 6: Final answer
    x = 517,148.27

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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.