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Finding the Third Proportional to 212,818.50 and 445,350

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Solution

The third proportional to 212,818.50 and 445,350 is: 931,951.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,818.50 : 445,350 = 445,350 : x
  2. Step 2: Convert to fraction form
    212,818.50/445,350 = 445,350/x
  3. Step 3: Cross multiply
    212,818.50x = 445,350 × 445,350
  4. Step 4: Simplify right side
    212,818.50x = 198,336,622,500
  5. Step 5: Solve for x
    x = 198,336,622,500/212,818.50
  6. Step 6: Final answer
    x = 931,951.98

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.