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Finding the Third Proportional to 186,915 and 405,379

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Solution

The third proportional to 186,915 and 405,379 is: 879,181.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,915 : 405,379 = 405,379 : x
  2. Step 2: Convert to fraction form
    186,915/405,379 = 405,379/x
  3. Step 3: Cross multiply
    186,915x = 405,379 × 405,379
  4. Step 4: Simplify right side
    186,915x = 164,332,133,641
  5. Step 5: Solve for x
    x = 164,332,133,641/186,915
  6. Step 6: Final answer
    x = 879,181.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.