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Finding the Third Proportional to 186,194.25 and 401,901.75

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Solution

The third proportional to 186,194.25 and 401,901.75 is: 867,508.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,194.25 : 401,901.75 = 401,901.75 : x
  2. Step 2: Convert to fraction form
    186,194.25/401,901.75 = 401,901.75/x
  3. Step 3: Cross multiply
    186,194.25x = 401,901.75 × 401,901.75
  4. Step 4: Simplify right side
    186,194.25x = 161,525,016,653.06
  5. Step 5: Solve for x
    x = 161,525,016,653.06/186,194.25
  6. Step 6: Final answer
    x = 867,508.08

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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.