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Finding the Third Proportional to 137,651 and 304,782

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Solution

The third proportional to 137,651 and 304,782 is: 674,837.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,651 : 304,782 = 304,782 : x
  2. Step 2: Convert to fraction form
    137,651/304,782 = 304,782/x
  3. Step 3: Cross multiply
    137,651x = 304,782 × 304,782
  4. Step 4: Simplify right side
    137,651x = 92,892,067,524
  5. Step 5: Solve for x
    x = 92,892,067,524/137,651
  6. Step 6: Final answer
    x = 674,837.58

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.