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Finding the Third Proportional to 232,168.78 and 309,588.75

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Solution

The third proportional to 232,168.78 and 309,588.75 is: 412,825.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,168.78 : 309,588.75 = 309,588.75 : x
  2. Step 2: Convert to fraction form
    232,168.78/309,588.75 = 309,588.75/x
  3. Step 3: Cross multiply
    232,168.78x = 309,588.75 × 309,588.75
  4. Step 4: Simplify right side
    232,168.78x = 95,845,194,126.56
  5. Step 5: Solve for x
    x = 95,845,194,126.56/232,168.78
  6. Step 6: Final answer
    x = 412,825.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.