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Finding the Third Proportional to 186,447 and 279,616

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Solution

The third proportional to 186,447 and 279,616 is: 419,342.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,447 : 279,616 = 279,616 : x
  2. Step 2: Convert to fraction form
    186,447/279,616 = 279,616/x
  3. Step 3: Cross multiply
    186,447x = 279,616 × 279,616
  4. Step 4: Simplify right side
    186,447x = 78,185,107,456
  5. Step 5: Solve for x
    x = 78,185,107,456/186,447
  6. Step 6: Final answer
    x = 419,342.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.