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Finding the Third Proportional to 158,662 and 333,686

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Solution

The third proportional to 158,662 and 333,686 is: 701,783.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,662 : 333,686 = 333,686 : x
  2. Step 2: Convert to fraction form
    158,662/333,686 = 333,686/x
  3. Step 3: Cross multiply
    158,662x = 333,686 × 333,686
  4. Step 4: Simplify right side
    158,662x = 111,346,346,596
  5. Step 5: Solve for x
    x = 111,346,346,596/158,662
  6. Step 6: Final answer
    x = 701,783.33

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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.