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Finding the Third Proportional to 170,960 and 395,742

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Solution

The third proportional to 170,960 and 395,742 is: 916,072.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,960 : 395,742 = 395,742 : x
  2. Step 2: Convert to fraction form
    170,960/395,742 = 395,742/x
  3. Step 3: Cross multiply
    170,960x = 395,742 × 395,742
  4. Step 4: Simplify right side
    170,960x = 156,611,730,564
  5. Step 5: Solve for x
    x = 156,611,730,564/170,960
  6. Step 6: Final answer
    x = 916,072.36

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.