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Finding the Third Proportional to 135,938.25 and 214,224.75

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Solution

The third proportional to 135,938.25 and 214,224.75 is: 337,596.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,938.25 : 214,224.75 = 214,224.75 : x
  2. Step 2: Convert to fraction form
    135,938.25/214,224.75 = 214,224.75/x
  3. Step 3: Cross multiply
    135,938.25x = 214,224.75 × 214,224.75
  4. Step 4: Simplify right side
    135,938.25x = 45,892,243,512.56
  5. Step 5: Solve for x
    x = 45,892,243,512.56/135,938.25
  6. Step 6: Final answer
    x = 337,596.25

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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.