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Finding the Third Proportional to 133,260.75 and 211,835.25

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Solution

The third proportional to 133,260.75 and 211,835.25 is: 336,739.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,260.75 : 211,835.25 = 211,835.25 : x
  2. Step 2: Convert to fraction form
    133,260.75/211,835.25 = 211,835.25/x
  3. Step 3: Cross multiply
    133,260.75x = 211,835.25 × 211,835.25
  4. Step 4: Simplify right side
    133,260.75x = 44,874,173,142.56
  5. Step 5: Solve for x
    x = 44,874,173,142.56/133,260.75
  6. Step 6: Final answer
    x = 336,739.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.