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Finding the Third Proportional to 186,696 and 409,682

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Solution

The third proportional to 186,696 and 409,682 is: 898,998.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,696 : 409,682 = 409,682 : x
  2. Step 2: Convert to fraction form
    186,696/409,682 = 409,682/x
  3. Step 3: Cross multiply
    186,696x = 409,682 × 409,682
  4. Step 4: Simplify right side
    186,696x = 167,839,341,124
  5. Step 5: Solve for x
    x = 167,839,341,124/186,696
  6. Step 6: Final answer
    x = 898,998.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.