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Finding the Third Proportional to 133,897 and 207,497

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Solution

The third proportional to 133,897 and 207,497 is: 321,553.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,897 : 207,497 = 207,497 : x
  2. Step 2: Convert to fraction form
    133,897/207,497 = 207,497/x
  3. Step 3: Cross multiply
    133,897x = 207,497 × 207,497
  4. Step 4: Simplify right side
    133,897x = 43,055,005,009
  5. Step 5: Solve for x
    x = 43,055,005,009/133,897
  6. Step 6: Final answer
    x = 321,553.17

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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.