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Finding the Third Proportional to 186,198 and 401,910

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Solution

The third proportional to 186,198 and 401,910 is: 867,526.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,198 : 401,910 = 401,910 : x
  2. Step 2: Convert to fraction form
    186,198/401,910 = 401,910/x
  3. Step 3: Cross multiply
    186,198x = 401,910 × 401,910
  4. Step 4: Simplify right side
    186,198x = 161,531,648,100
  5. Step 5: Solve for x
    x = 161,531,648,100/186,198
  6. Step 6: Final answer
    x = 867,526.23

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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.