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Finding the Third Proportional to 133,098 and 206,174

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Solution

The third proportional to 133,098 and 206,174 is: 319,371.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,098 : 206,174 = 206,174 : x
  2. Step 2: Convert to fraction form
    133,098/206,174 = 206,174/x
  3. Step 3: Cross multiply
    133,098x = 206,174 × 206,174
  4. Step 4: Simplify right side
    133,098x = 42,507,718,276
  5. Step 5: Solve for x
    x = 42,507,718,276/133,098
  6. Step 6: Final answer
    x = 319,371.58

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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.