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Finding the Third Proportional to 186,112 and 407,667.50

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Solution

The third proportional to 186,112 and 407,667.50 is: 892,971.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,112 : 407,667.50 = 407,667.50 : x
  2. Step 2: Convert to fraction form
    186,112/407,667.50 = 407,667.50/x
  3. Step 3: Cross multiply
    186,112x = 407,667.50 × 407,667.50
  4. Step 4: Simplify right side
    186,112x = 166,192,790,556.25
  5. Step 5: Solve for x
    x = 166,192,790,556.25/186,112
  6. Step 6: Final answer
    x = 892,971.92

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.