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Finding the Third Proportional to 203,344 and 306,616

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Solution

The third proportional to 203,344 and 306,616 is: 462,336.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,344 : 306,616 = 306,616 : x
  2. Step 2: Convert to fraction form
    203,344/306,616 = 306,616/x
  3. Step 3: Cross multiply
    203,344x = 306,616 × 306,616
  4. Step 4: Simplify right side
    203,344x = 94,013,371,456
  5. Step 5: Solve for x
    x = 94,013,371,456/203,344
  6. Step 6: Final answer
    x = 462,336.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.