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Finding the Third Proportional to 161,098 and 363,974

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Solution

The third proportional to 161,098 and 363,974 is: 822,338.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,098 : 363,974 = 363,974 : x
  2. Step 2: Convert to fraction form
    161,098/363,974 = 363,974/x
  3. Step 3: Cross multiply
    161,098x = 363,974 × 363,974
  4. Step 4: Simplify right side
    161,098x = 132,477,072,676
  5. Step 5: Solve for x
    x = 132,477,072,676/161,098
  6. Step 6: Final answer
    x = 822,338.41

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.