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Finding the Third Proportional to 186,456 and 279,684

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Solution

The third proportional to 186,456 and 279,684 is: 419,526

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,456 : 279,684 = 279,684 : x
  2. Step 2: Convert to fraction form
    186,456/279,684 = 279,684/x
  3. Step 3: Cross multiply
    186,456x = 279,684 × 279,684
  4. Step 4: Simplify right side
    186,456x = 78,223,139,856
  5. Step 5: Solve for x
    x = 78,223,139,856/186,456
  6. Step 6: Final answer
    x = 419,526

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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.