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Finding the Third Proportional to 206,905.50 and 443,340

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Solution

The third proportional to 206,905.50 and 443,340 is: 949,952.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,905.50 : 443,340 = 443,340 : x
  2. Step 2: Convert to fraction form
    206,905.50/443,340 = 443,340/x
  3. Step 3: Cross multiply
    206,905.50x = 443,340 × 443,340
  4. Step 4: Simplify right side
    206,905.50x = 196,550,355,600
  5. Step 5: Solve for x
    x = 196,550,355,600/206,905.50
  6. Step 6: Final answer
    x = 949,952.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.