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Finding the Third Proportional to 206.50 and 307

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Solution

The third proportional to 206.50 and 307 is: 456.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.50 : 307 = 307 : x
  2. Step 2: Convert to fraction form
    206.50/307 = 307/x
  3. Step 3: Cross multiply
    206.50x = 307 × 307
  4. Step 4: Simplify right side
    206.50x = 94,249
  5. Step 5: Solve for x
    x = 94,249/206.50
  6. Step 6: Final answer
    x = 456.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.