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Finding the Third Proportional to 170,361.75 and 262,650.75

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Solution

The third proportional to 170,361.75 and 262,650.75 is: 404,934.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,361.75 : 262,650.75 = 262,650.75 : x
  2. Step 2: Convert to fraction form
    170,361.75/262,650.75 = 262,650.75/x
  3. Step 3: Cross multiply
    170,361.75x = 262,650.75 × 262,650.75
  4. Step 4: Simplify right side
    170,361.75x = 68,985,416,475.56
  5. Step 5: Solve for x
    x = 68,985,416,475.56/170,361.75
  6. Step 6: Final answer
    x = 404,934.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.