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Finding the Third Proportional to 186,861.75 and 398,637.75

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Solution

The third proportional to 186,861.75 and 398,637.75 is: 850,425.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,861.75 : 398,637.75 = 398,637.75 : x
  2. Step 2: Convert to fraction form
    186,861.75/398,637.75 = 398,637.75/x
  3. Step 3: Cross multiply
    186,861.75x = 398,637.75 × 398,637.75
  4. Step 4: Simplify right side
    186,861.75x = 158,912,055,725.06
  5. Step 5: Solve for x
    x = 158,912,055,725.06/186,861.75
  6. Step 6: Final answer
    x = 850,425.81

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.