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Finding the Third Proportional to 103,898 and 223,685

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Solution

The third proportional to 103,898 and 223,685 is: 481,577.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,898 : 223,685 = 223,685 : x
  2. Step 2: Convert to fraction form
    103,898/223,685 = 223,685/x
  3. Step 3: Cross multiply
    103,898x = 223,685 × 223,685
  4. Step 4: Simplify right side
    103,898x = 50,034,979,225
  5. Step 5: Solve for x
    x = 50,034,979,225/103,898
  6. Step 6: Final answer
    x = 481,577.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.