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Finding the Third Proportional to 103,204 and 210,780

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Solution

The third proportional to 103,204 and 210,780 is: 430,489.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,204 : 210,780 = 210,780 : x
  2. Step 2: Convert to fraction form
    103,204/210,780 = 210,780/x
  3. Step 3: Cross multiply
    103,204x = 210,780 × 210,780
  4. Step 4: Simplify right side
    103,204x = 44,428,208,400
  5. Step 5: Solve for x
    x = 44,428,208,400/103,204
  6. Step 6: Final answer
    x = 430,489.21

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.