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Finding the Third Proportional to 170,869 and 395,564

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Solution

The third proportional to 170,869 and 395,564 is: 915,735.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,869 : 395,564 = 395,564 : x
  2. Step 2: Convert to fraction form
    170,869/395,564 = 395,564/x
  3. Step 3: Cross multiply
    170,869x = 395,564 × 395,564
  4. Step 4: Simplify right side
    170,869x = 156,470,878,096
  5. Step 5: Solve for x
    x = 156,470,878,096/170,869
  6. Step 6: Final answer
    x = 915,735.90

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.