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Finding the Third Proportional to 186,016.50 and 401,496.75

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Solution

The third proportional to 186,016.50 and 401,496.75 is: 866,587.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,016.50 : 401,496.75 = 401,496.75 : x
  2. Step 2: Convert to fraction form
    186,016.50/401,496.75 = 401,496.75/x
  3. Step 3: Cross multiply
    186,016.50x = 401,496.75 × 401,496.75
  4. Step 4: Simplify right side
    186,016.50x = 161,199,640,260.56
  5. Step 5: Solve for x
    x = 161,199,640,260.56/186,016.50
  6. Step 6: Final answer
    x = 866,587.86

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