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Finding the Third Proportional to 208,188 and 447,951

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Solution

The third proportional to 208,188 and 447,951 is: 963,840.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,188 : 447,951 = 447,951 : x
  2. Step 2: Convert to fraction form
    208,188/447,951 = 447,951/x
  3. Step 3: Cross multiply
    208,188x = 447,951 × 447,951
  4. Step 4: Simplify right side
    208,188x = 200,660,098,401
  5. Step 5: Solve for x
    x = 200,660,098,401/208,188
  6. Step 6: Final answer
    x = 963,840.85

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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.