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Finding the Third Proportional to 233,142.75 and 309,462.75

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Solution

The third proportional to 233,142.75 and 309,462.75 is: 410,766.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,142.75 : 309,462.75 = 309,462.75 : x
  2. Step 2: Convert to fraction form
    233,142.75/309,462.75 = 309,462.75/x
  3. Step 3: Cross multiply
    233,142.75x = 309,462.75 × 309,462.75
  4. Step 4: Simplify right side
    233,142.75x = 95,767,193,637.56
  5. Step 5: Solve for x
    x = 95,767,193,637.56/233,142.75
  6. Step 6: Final answer
    x = 410,766.34

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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.