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Finding the Third Proportional to 170,902 and 367,100

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Solution

The third proportional to 170,902 and 367,100 is: 788,536.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,902 : 367,100 = 367,100 : x
  2. Step 2: Convert to fraction form
    170,902/367,100 = 367,100/x
  3. Step 3: Cross multiply
    170,902x = 367,100 × 367,100
  4. Step 4: Simplify right side
    170,902x = 134,762,410,000
  5. Step 5: Solve for x
    x = 134,762,410,000/170,902
  6. Step 6: Final answer
    x = 788,536.18

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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.