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Finding the Third Proportional to 133,687.97 and 200,558.53

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Solution

The third proportional to 133,687.97 and 200,558.53 is: 300,877.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,687.97 : 200,558.53 = 200,558.53 : x
  2. Step 2: Convert to fraction form
    133,687.97/200,558.53 = 200,558.53/x
  3. Step 3: Cross multiply
    133,687.97x = 200,558.53 × 200,558.53
  4. Step 4: Simplify right side
    133,687.97x = 40,223,724,457.16
  5. Step 5: Solve for x
    x = 40,223,724,457.16/133,687.97
  6. Step 6: Final answer
    x = 300,877.67

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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.