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Finding the Third Proportional to 103,678 and 223,700

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Solution

The third proportional to 103,678 and 223,700 is: 482,664.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,678 : 223,700 = 223,700 : x
  2. Step 2: Convert to fraction form
    103,678/223,700 = 223,700/x
  3. Step 3: Cross multiply
    103,678x = 223,700 × 223,700
  4. Step 4: Simplify right side
    103,678x = 50,041,690,000
  5. Step 5: Solve for x
    x = 50,041,690,000/103,678
  6. Step 6: Final answer
    x = 482,664.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.