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Finding the Third Proportional to 138,910 and 299,456

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Solution

The third proportional to 138,910 and 299,456 is: 645,553.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,910 : 299,456 = 299,456 : x
  2. Step 2: Convert to fraction form
    138,910/299,456 = 299,456/x
  3. Step 3: Cross multiply
    138,910x = 299,456 × 299,456
  4. Step 4: Simplify right side
    138,910x = 89,673,895,936
  5. Step 5: Solve for x
    x = 89,673,895,936/138,910
  6. Step 6: Final answer
    x = 645,553.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.