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Finding the Third Proportional to 170,186 and 365,644

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Solution

The third proportional to 170,186 and 365,644 is: 785,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,186 : 365,644 = 365,644 : x
  2. Step 2: Convert to fraction form
    170,186/365,644 = 365,644/x
  3. Step 3: Cross multiply
    170,186x = 365,644 × 365,644
  4. Step 4: Simplify right side
    170,186x = 133,695,534,736
  5. Step 5: Solve for x
    x = 133,695,534,736/170,186
  6. Step 6: Final answer
    x = 785,584.80

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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.