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Finding the Third Proportional to 156,799 and 335,733

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Solution

The third proportional to 156,799 and 335,733 is: 718,860.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,799 : 335,733 = 335,733 : x
  2. Step 2: Convert to fraction form
    156,799/335,733 = 335,733/x
  3. Step 3: Cross multiply
    156,799x = 335,733 × 335,733
  4. Step 4: Simplify right side
    156,799x = 112,716,647,289
  5. Step 5: Solve for x
    x = 112,716,647,289/156,799
  6. Step 6: Final answer
    x = 718,860.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.