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Finding the Third Proportional to 170,468 and 367,099

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Solution

The third proportional to 170,468 and 367,099 is: 790,539.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,468 : 367,099 = 367,099 : x
  2. Step 2: Convert to fraction form
    170,468/367,099 = 367,099/x
  3. Step 3: Cross multiply
    170,468x = 367,099 × 367,099
  4. Step 4: Simplify right side
    170,468x = 134,761,675,801
  5. Step 5: Solve for x
    x = 134,761,675,801/170,468
  6. Step 6: Final answer
    x = 790,539.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.