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Finding the Third Proportional to 208,190.25 and 447,962.91

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Solution

The third proportional to 208,190.25 and 447,962.91 is: 963,881.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,190.25 : 447,962.91 = 447,962.91 : x
  2. Step 2: Convert to fraction form
    208,190.25/447,962.91 = 447,962.91/x
  3. Step 3: Cross multiply
    208,190.25x = 447,962.91 × 447,962.91
  4. Step 4: Simplify right side
    208,190.25x = 200,670,765,375.95
  5. Step 5: Solve for x
    x = 200,670,765,375.95/208,190.25
  6. Step 6: Final answer
    x = 963,881.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.