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Finding the Third Proportional to 186,936.75 and 407,706.75

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Solution

The third proportional to 186,936.75 and 407,706.75 is: 889,203.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,936.75 : 407,706.75 = 407,706.75 : x
  2. Step 2: Convert to fraction form
    186,936.75/407,706.75 = 407,706.75/x
  3. Step 3: Cross multiply
    186,936.75x = 407,706.75 × 407,706.75
  4. Step 4: Simplify right side
    186,936.75x = 166,224,793,995.56
  5. Step 5: Solve for x
    x = 166,224,793,995.56/186,936.75
  6. Step 6: Final answer
    x = 889,203.40

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.