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Finding the Third Proportional to 239,453.50 and 360,185.88

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Solution

The third proportional to 239,453.50 and 360,185.88 is: 541,791.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,453.50 : 360,185.88 = 360,185.88 : x
  2. Step 2: Convert to fraction form
    239,453.50/360,185.88 = 360,185.88/x
  3. Step 3: Cross multiply
    239,453.50x = 360,185.88 × 360,185.88
  4. Step 4: Simplify right side
    239,453.50x = 129,733,864,549.52
  5. Step 5: Solve for x
    x = 129,733,864,549.52/239,453.50
  6. Step 6: Final answer
    x = 541,791.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.