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Finding the Third Proportional to 223,992 and 346,821

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Solution

The third proportional to 223,992 and 346,821 is: 537,004.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,992 : 346,821 = 346,821 : x
  2. Step 2: Convert to fraction form
    223,992/346,821 = 346,821/x
  3. Step 3: Cross multiply
    223,992x = 346,821 × 346,821
  4. Step 4: Simplify right side
    223,992x = 120,284,806,041
  5. Step 5: Solve for x
    x = 120,284,806,041/223,992
  6. Step 6: Final answer
    x = 537,004.92

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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.