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Finding the Third Proportional to 227,548 and 306,324

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Solution

The third proportional to 227,548 and 306,324 is: 412,371.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,548 : 306,324 = 306,324 : x
  2. Step 2: Convert to fraction form
    227,548/306,324 = 306,324/x
  3. Step 3: Cross multiply
    227,548x = 306,324 × 306,324
  4. Step 4: Simplify right side
    227,548x = 93,834,392,976
  5. Step 5: Solve for x
    x = 93,834,392,976/227,548
  6. Step 6: Final answer
    x = 412,371.86

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.