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Finding the Third Proportional to 186,716 and 404,936

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Solution

The third proportional to 186,716 and 404,936 is: 878,195.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,716 : 404,936 = 404,936 : x
  2. Step 2: Convert to fraction form
    186,716/404,936 = 404,936/x
  3. Step 3: Cross multiply
    186,716x = 404,936 × 404,936
  4. Step 4: Simplify right side
    186,716x = 163,973,164,096
  5. Step 5: Solve for x
    x = 163,973,164,096/186,716
  6. Step 6: Final answer
    x = 878,195.57

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.