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Finding the Third Proportional to 136,197 and 299,267

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Solution

The third proportional to 136,197 and 299,267 is: 657,582.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,197 : 299,267 = 299,267 : x
  2. Step 2: Convert to fraction form
    136,197/299,267 = 299,267/x
  3. Step 3: Cross multiply
    136,197x = 299,267 × 299,267
  4. Step 4: Simplify right side
    136,197x = 89,560,737,289
  5. Step 5: Solve for x
    x = 89,560,737,289/136,197
  6. Step 6: Final answer
    x = 657,582.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.