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Finding the Third Proportional to 208,311.38 and 447,697.88

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Solution

The third proportional to 208,311.38 and 447,697.88 is: 962,181.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,311.38 : 447,697.88 = 447,697.88 : x
  2. Step 2: Convert to fraction form
    208,311.38/447,697.88 = 447,697.88/x
  3. Step 3: Cross multiply
    208,311.38x = 447,697.88 × 447,697.88
  4. Step 4: Simplify right side
    208,311.38x = 200,433,387,279.52
  5. Step 5: Solve for x
    x = 200,433,387,279.52/208,311.38
  6. Step 6: Final answer
    x = 962,181.67

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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.