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Finding the Third Proportional to 186,208 and 401,926

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Solution

The third proportional to 186,208 and 401,926 is: 867,548.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,208 : 401,926 = 401,926 : x
  2. Step 2: Convert to fraction form
    186,208/401,926 = 401,926/x
  3. Step 3: Cross multiply
    186,208x = 401,926 × 401,926
  4. Step 4: Simplify right side
    186,208x = 161,544,509,476
  5. Step 5: Solve for x
    x = 161,544,509,476/186,208
  6. Step 6: Final answer
    x = 867,548.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.