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Finding the Third Proportional to 217,512 and 306,308

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Solution

The third proportional to 217,512 and 306,308 is: 431,353.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,512 : 306,308 = 306,308 : x
  2. Step 2: Convert to fraction form
    217,512/306,308 = 306,308/x
  3. Step 3: Cross multiply
    217,512x = 306,308 × 306,308
  4. Step 4: Simplify right side
    217,512x = 93,824,590,864
  5. Step 5: Solve for x
    x = 93,824,590,864/217,512
  6. Step 6: Final answer
    x = 431,353.63

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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.