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Finding the Third Proportional to 186,696 and 279,396

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Solution

The third proportional to 186,696 and 279,396 is: 418,124.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,696 : 279,396 = 279,396 : x
  2. Step 2: Convert to fraction form
    186,696/279,396 = 279,396/x
  3. Step 3: Cross multiply
    186,696x = 279,396 × 279,396
  4. Step 4: Simplify right side
    186,696x = 78,062,124,816
  5. Step 5: Solve for x
    x = 78,062,124,816/186,696
  6. Step 6: Final answer
    x = 418,124.25

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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.