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Finding the Third Proportional to 153,198 and 330,992

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Solution

The third proportional to 153,198 and 330,992 is: 715,124.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,198 : 330,992 = 330,992 : x
  2. Step 2: Convert to fraction form
    153,198/330,992 = 330,992/x
  3. Step 3: Cross multiply
    153,198x = 330,992 × 330,992
  4. Step 4: Simplify right side
    153,198x = 109,555,704,064
  5. Step 5: Solve for x
    x = 109,555,704,064/153,198
  6. Step 6: Final answer
    x = 715,124.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.