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Finding the Third Proportional to 103,602 and 223,144

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Solution

The third proportional to 103,602 and 223,144 is: 480,620.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,602 : 223,144 = 223,144 : x
  2. Step 2: Convert to fraction form
    103,602/223,144 = 223,144/x
  3. Step 3: Cross multiply
    103,602x = 223,144 × 223,144
  4. Step 4: Simplify right side
    103,602x = 49,793,244,736
  5. Step 5: Solve for x
    x = 49,793,244,736/103,602
  6. Step 6: Final answer
    x = 480,620.50

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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.