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Finding the Third Proportional to 223,986 and 346,814

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Solution

The third proportional to 223,986 and 346,814 is: 536,997.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,986 : 346,814 = 346,814 : x
  2. Step 2: Convert to fraction form
    223,986/346,814 = 346,814/x
  3. Step 3: Cross multiply
    223,986x = 346,814 × 346,814
  4. Step 4: Simplify right side
    223,986x = 120,279,950,596
  5. Step 5: Solve for x
    x = 120,279,950,596/223,986
  6. Step 6: Final answer
    x = 536,997.63

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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.