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Finding the Third Proportional to 135,816.75 and 214,832.25

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Solution

The third proportional to 135,816.75 and 214,832.25 is: 339,817.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,816.75 : 214,832.25 = 214,832.25 : x
  2. Step 2: Convert to fraction form
    135,816.75/214,832.25 = 214,832.25/x
  3. Step 3: Cross multiply
    135,816.75x = 214,832.25 × 214,832.25
  4. Step 4: Simplify right side
    135,816.75x = 46,152,895,640.06
  5. Step 5: Solve for x
    x = 46,152,895,640.06/135,816.75
  6. Step 6: Final answer
    x = 339,817.41

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.