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Finding the Third Proportional to 186,189 and 401,903

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Solution

The third proportional to 186,189 and 401,903 is: 867,537.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,189 : 401,903 = 401,903 : x
  2. Step 2: Convert to fraction form
    186,189/401,903 = 401,903/x
  3. Step 3: Cross multiply
    186,189x = 401,903 × 401,903
  4. Step 4: Simplify right side
    186,189x = 161,526,021,409
  5. Step 5: Solve for x
    x = 161,526,021,409/186,189
  6. Step 6: Final answer
    x = 867,537.94

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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.