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Finding the Third Proportional to 223,920 and 346,698

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Solution

The third proportional to 223,920 and 346,698 is: 536,796.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,920 : 346,698 = 346,698 : x
  2. Step 2: Convert to fraction form
    223,920/346,698 = 346,698/x
  3. Step 3: Cross multiply
    223,920x = 346,698 × 346,698
  4. Step 4: Simplify right side
    223,920x = 120,199,503,204
  5. Step 5: Solve for x
    x = 120,199,503,204/223,920
  6. Step 6: Final answer
    x = 536,796.64

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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.