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Finding the Third Proportional to 159,488 and 246,992

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Solution

The third proportional to 159,488 and 246,992 is: 382,505.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,488 : 246,992 = 246,992 : x
  2. Step 2: Convert to fraction form
    159,488/246,992 = 246,992/x
  3. Step 3: Cross multiply
    159,488x = 246,992 × 246,992
  4. Step 4: Simplify right side
    159,488x = 61,005,048,064
  5. Step 5: Solve for x
    x = 61,005,048,064/159,488
  6. Step 6: Final answer
    x = 382,505.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.