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Finding the Third Proportional to 206,500.50 and 302,274

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Solution

The third proportional to 206,500.50 and 302,274 is: 442,466.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,500.50 : 302,274 = 302,274 : x
  2. Step 2: Convert to fraction form
    206,500.50/302,274 = 302,274/x
  3. Step 3: Cross multiply
    206,500.50x = 302,274 × 302,274
  4. Step 4: Simplify right side
    206,500.50x = 91,369,571,076
  5. Step 5: Solve for x
    x = 91,369,571,076/206,500.50
  6. Step 6: Final answer
    x = 442,466.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.