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Finding the Third Proportional to 135,807.75 and 214,997.63

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Solution

The third proportional to 135,807.75 and 214,997.63 is: 340,363.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,807.75 : 214,997.63 = 214,997.63 : x
  2. Step 2: Convert to fraction form
    135,807.75/214,997.63 = 214,997.63/x
  3. Step 3: Cross multiply
    135,807.75x = 214,997.63 × 214,997.63
  4. Step 4: Simplify right side
    135,807.75x = 46,223,978,755.64
  5. Step 5: Solve for x
    x = 46,223,978,755.64/135,807.75
  6. Step 6: Final answer
    x = 340,363.34

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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.