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Finding the Third Proportional to 188,667 and 410,070

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Solution

The third proportional to 188,667 and 410,070 is: 891,292.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,667 : 410,070 = 410,070 : x
  2. Step 2: Convert to fraction form
    188,667/410,070 = 410,070/x
  3. Step 3: Cross multiply
    188,667x = 410,070 × 410,070
  4. Step 4: Simplify right side
    188,667x = 168,157,404,900
  5. Step 5: Solve for x
    x = 168,157,404,900/188,667
  6. Step 6: Final answer
    x = 891,292.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.