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Finding the Third Proportional to 158,175 and 340,542

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Solution

The third proportional to 158,175 and 340,542 is: 733,168.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,175 : 340,542 = 340,542 : x
  2. Step 2: Convert to fraction form
    158,175/340,542 = 340,542/x
  3. Step 3: Cross multiply
    158,175x = 340,542 × 340,542
  4. Step 4: Simplify right side
    158,175x = 115,968,853,764
  5. Step 5: Solve for x
    x = 115,968,853,764/158,175
  6. Step 6: Final answer
    x = 733,168.03

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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.