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Finding the Third Proportional to 170,019.75 and 356,362.31

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Solution

The third proportional to 170,019.75 and 356,362.31 is: 746,937.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,019.75 : 356,362.31 = 356,362.31 : x
  2. Step 2: Convert to fraction form
    170,019.75/356,362.31 = 356,362.31/x
  3. Step 3: Cross multiply
    170,019.75x = 356,362.31 × 356,362.31
  4. Step 4: Simplify right side
    170,019.75x = 126,994,097,770.35
  5. Step 5: Solve for x
    x = 126,994,097,770.35/170,019.75
  6. Step 6: Final answer
    x = 746,937.33

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.