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Finding the Third Proportional to 193,876 and 405,409

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Solution

The third proportional to 193,876 and 405,409 is: 847,740.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,876 : 405,409 = 405,409 : x
  2. Step 2: Convert to fraction form
    193,876/405,409 = 405,409/x
  3. Step 3: Cross multiply
    193,876x = 405,409 × 405,409
  4. Step 4: Simplify right side
    193,876x = 164,356,457,281
  5. Step 5: Solve for x
    x = 164,356,457,281/193,876
  6. Step 6: Final answer
    x = 847,740.09

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.