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Finding the Third Proportional to 133,877 and 207,297

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Solution

The third proportional to 133,877 and 207,297 is: 320,981.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,877 : 207,297 = 207,297 : x
  2. Step 2: Convert to fraction form
    133,877/207,297 = 207,297/x
  3. Step 3: Cross multiply
    133,877x = 207,297 × 207,297
  4. Step 4: Simplify right side
    133,877x = 42,972,046,209
  5. Step 5: Solve for x
    x = 42,972,046,209/133,877
  6. Step 6: Final answer
    x = 320,981.54

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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.