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Finding the Third Proportional to 133,004.53 and 204,438.94

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Solution

The third proportional to 133,004.53 and 204,438.94 is: 314,239.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,004.53 : 204,438.94 = 204,438.94 : x
  2. Step 2: Convert to fraction form
    133,004.53/204,438.94 = 204,438.94/x
  3. Step 3: Cross multiply
    133,004.53x = 204,438.94 × 204,438.94
  4. Step 4: Simplify right side
    133,004.53x = 41,795,279,166.13
  5. Step 5: Solve for x
    x = 41,795,279,166.13/133,004.53
  6. Step 6: Final answer
    x = 314,239.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.