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Finding the Third Proportional to 217,446 and 306,211

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Solution

The third proportional to 217,446 and 306,211 is: 431,211.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,446 : 306,211 = 306,211 : x
  2. Step 2: Convert to fraction form
    217,446/306,211 = 306,211/x
  3. Step 3: Cross multiply
    217,446x = 306,211 × 306,211
  4. Step 4: Simplify right side
    217,446x = 93,765,176,521
  5. Step 5: Solve for x
    x = 93,765,176,521/217,446
  6. Step 6: Final answer
    x = 431,211.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.