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Finding the Third Proportional to 158,659 and 333,680

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Solution

The third proportional to 158,659 and 333,680 is: 701,771.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,659 : 333,680 = 333,680 : x
  2. Step 2: Convert to fraction form
    158,659/333,680 = 333,680/x
  3. Step 3: Cross multiply
    158,659x = 333,680 × 333,680
  4. Step 4: Simplify right side
    158,659x = 111,342,342,400
  5. Step 5: Solve for x
    x = 111,342,342,400/158,659
  6. Step 6: Final answer
    x = 701,771.36

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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.