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Finding the Third Proportional to 221,003 and 339,894

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Solution

The third proportional to 221,003 and 339,894 is: 522,743.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,003 : 339,894 = 339,894 : x
  2. Step 2: Convert to fraction form
    221,003/339,894 = 339,894/x
  3. Step 3: Cross multiply
    221,003x = 339,894 × 339,894
  4. Step 4: Simplify right side
    221,003x = 115,527,931,236
  5. Step 5: Solve for x
    x = 115,527,931,236/221,003
  6. Step 6: Final answer
    x = 522,743.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.