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Finding the Third Proportional to 186,927 and 405,405

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Solution

The third proportional to 186,927 and 405,405 is: 879,237.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,927 : 405,405 = 405,405 : x
  2. Step 2: Convert to fraction form
    186,927/405,405 = 405,405/x
  3. Step 3: Cross multiply
    186,927x = 405,405 × 405,405
  4. Step 4: Simplify right side
    186,927x = 164,353,214,025
  5. Step 5: Solve for x
    x = 164,353,214,025/186,927
  6. Step 6: Final answer
    x = 879,237.42

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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.