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Finding the Third Proportional to 150,645.75 and 233,255.63

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Solution

The third proportional to 150,645.75 and 233,255.63 is: 361,166.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,645.75 : 233,255.63 = 233,255.63 : x
  2. Step 2: Convert to fraction form
    150,645.75/233,255.63 = 233,255.63/x
  3. Step 3: Cross multiply
    150,645.75x = 233,255.63 × 233,255.63
  4. Step 4: Simplify right side
    150,645.75x = 54,408,186,594.14
  5. Step 5: Solve for x
    x = 54,408,186,594.14/150,645.75
  6. Step 6: Final answer
    x = 361,166.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.