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Finding the Third Proportional to 186,942 and 402,396

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Solution

The third proportional to 186,942 and 402,396 is: 866,164.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,942 : 402,396 = 402,396 : x
  2. Step 2: Convert to fraction form
    186,942/402,396 = 402,396/x
  3. Step 3: Cross multiply
    186,942x = 402,396 × 402,396
  4. Step 4: Simplify right side
    186,942x = 161,922,540,816
  5. Step 5: Solve for x
    x = 161,922,540,816/186,942
  6. Step 6: Final answer
    x = 866,164.59

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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.