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Finding the Third Proportional to 223,950 and 339,478

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Solution

The third proportional to 223,950 and 339,478 is: 514,602.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,950 : 339,478 = 339,478 : x
  2. Step 2: Convert to fraction form
    223,950/339,478 = 339,478/x
  3. Step 3: Cross multiply
    223,950x = 339,478 × 339,478
  4. Step 4: Simplify right side
    223,950x = 115,245,312,484
  5. Step 5: Solve for x
    x = 115,245,312,484/223,950
  6. Step 6: Final answer
    x = 514,602.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.