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Finding the Third Proportional to 133,698.50 and 200,576

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Solution

The third proportional to 133,698.50 and 200,576 is: 300,906.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,698.50 : 200,576 = 200,576 : x
  2. Step 2: Convert to fraction form
    133,698.50/200,576 = 200,576/x
  3. Step 3: Cross multiply
    133,698.50x = 200,576 × 200,576
  4. Step 4: Simplify right side
    133,698.50x = 40,230,731,776
  5. Step 5: Solve for x
    x = 40,230,731,776/133,698.50
  6. Step 6: Final answer
    x = 300,906.38

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Why These Related Problems?

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