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Finding the Third Proportional to 223,114 and 339,901

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Solution

The third proportional to 223,114 and 339,901 is: 517,819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,114 : 339,901 = 339,901 : x
  2. Step 2: Convert to fraction form
    223,114/339,901 = 339,901/x
  3. Step 3: Cross multiply
    223,114x = 339,901 × 339,901
  4. Step 4: Simplify right side
    223,114x = 115,532,689,801
  5. Step 5: Solve for x
    x = 115,532,689,801/223,114
  6. Step 6: Final answer
    x = 517,819.10

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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.