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Finding the Third Proportional to 133,910 and 207,349

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Solution

The third proportional to 133,910 and 207,349 is: 321,063.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,910 : 207,349 = 207,349 : x
  2. Step 2: Convert to fraction form
    133,910/207,349 = 207,349/x
  3. Step 3: Cross multiply
    133,910x = 207,349 × 207,349
  4. Step 4: Simplify right side
    133,910x = 42,993,607,801
  5. Step 5: Solve for x
    x = 42,993,607,801/133,910
  6. Step 6: Final answer
    x = 321,063.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.