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Finding the Third Proportional to 152,193 and 236,578

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Solution

The third proportional to 152,193 and 236,578 is: 367,751.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,193 : 236,578 = 236,578 : x
  2. Step 2: Convert to fraction form
    152,193/236,578 = 236,578/x
  3. Step 3: Cross multiply
    152,193x = 236,578 × 236,578
  4. Step 4: Simplify right side
    152,193x = 55,969,150,084
  5. Step 5: Solve for x
    x = 55,969,150,084/152,193
  6. Step 6: Final answer
    x = 367,751.15

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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.