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Finding the Third Proportional to 170,649 and 367,057

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Solution

The third proportional to 170,649 and 367,057 is: 789,520.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,649 : 367,057 = 367,057 : x
  2. Step 2: Convert to fraction form
    170,649/367,057 = 367,057/x
  3. Step 3: Cross multiply
    170,649x = 367,057 × 367,057
  4. Step 4: Simplify right side
    170,649x = 134,730,841,249
  5. Step 5: Solve for x
    x = 134,730,841,249/170,649
  6. Step 6: Final answer
    x = 789,520.25

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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.