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Finding the Third Proportional to 133,696 and 200,570

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Solution

The third proportional to 133,696 and 200,570 is: 300,894.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,696 : 200,570 = 200,570 : x
  2. Step 2: Convert to fraction form
    133,696/200,570 = 200,570/x
  3. Step 3: Cross multiply
    133,696x = 200,570 × 200,570
  4. Step 4: Simplify right side
    133,696x = 40,228,324,900
  5. Step 5: Solve for x
    x = 40,228,324,900/133,696
  6. Step 6: Final answer
    x = 300,894.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.