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Finding the Third Proportional to 82,435 and 177,667

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Solution

The third proportional to 82,435 and 177,667 is: 382,914.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,435 : 177,667 = 177,667 : x
  2. Step 2: Convert to fraction form
    82,435/177,667 = 177,667/x
  3. Step 3: Cross multiply
    82,435x = 177,667 × 177,667
  4. Step 4: Simplify right side
    82,435x = 31,565,562,889
  5. Step 5: Solve for x
    x = 31,565,562,889/82,435
  6. Step 6: Final answer
    x = 382,914.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.