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Finding the Third Proportional to 223,704 and 338,814

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Solution

The third proportional to 223,704 and 338,814 is: 513,155.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,704 : 338,814 = 338,814 : x
  2. Step 2: Convert to fraction form
    223,704/338,814 = 338,814/x
  3. Step 3: Cross multiply
    223,704x = 338,814 × 338,814
  4. Step 4: Simplify right side
    223,704x = 114,794,926,596
  5. Step 5: Solve for x
    x = 114,794,926,596/223,704
  6. Step 6: Final answer
    x = 513,155.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.