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Finding the Third Proportional to 152,645.63 and 332,441.44

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Solution

The third proportional to 152,645.63 and 332,441.44 is: 724,012.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,645.63 : 332,441.44 = 332,441.44 : x
  2. Step 2: Convert to fraction form
    152,645.63/332,441.44 = 332,441.44/x
  3. Step 3: Cross multiply
    152,645.63x = 332,441.44 × 332,441.44
  4. Step 4: Simplify right side
    152,645.63x = 110,517,309,367.07
  5. Step 5: Solve for x
    x = 110,517,309,367.07/152,645.63
  6. Step 6: Final answer
    x = 724,012.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.