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Finding the Third Proportional to 186,936 and 402,384

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Solution

The third proportional to 186,936 and 402,384 is: 866,140.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,936 : 402,384 = 402,384 : x
  2. Step 2: Convert to fraction form
    186,936/402,384 = 402,384/x
  3. Step 3: Cross multiply
    186,936x = 402,384 × 402,384
  4. Step 4: Simplify right side
    186,936x = 161,912,883,456
  5. Step 5: Solve for x
    x = 161,912,883,456/186,936
  6. Step 6: Final answer
    x = 866,140.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.