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Finding the Third Proportional to 186,195.38 and 401,905.13

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Solution

The third proportional to 186,195.38 and 401,905.13 is: 867,517.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,195.38 : 401,905.13 = 401,905.13 : x
  2. Step 2: Convert to fraction form
    186,195.38/401,905.13 = 401,905.13/x
  3. Step 3: Cross multiply
    186,195.38x = 401,905.13 × 401,905.13
  4. Step 4: Simplify right side
    186,195.38x = 161,527,729,501.27
  5. Step 5: Solve for x
    x = 161,527,729,501.27/186,195.38
  6. Step 6: Final answer
    x = 867,517.41

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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.