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Finding the Third Proportional to 227,523.94 and 306,293.91

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Solution

The third proportional to 227,523.94 and 306,293.91 is: 412,334.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,523.94 : 306,293.91 = 306,293.91 : x
  2. Step 2: Convert to fraction form
    227,523.94/306,293.91 = 306,293.91/x
  3. Step 3: Cross multiply
    227,523.94x = 306,293.91 × 306,293.91
  4. Step 4: Simplify right side
    227,523.94x = 93,815,957,005.88
  5. Step 5: Solve for x
    x = 93,815,957,005.88/227,523.94
  6. Step 6: Final answer
    x = 412,334.45

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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.