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Finding the Third Proportional to 227,606 and 344,555

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Solution

The third proportional to 227,606 and 344,555 is: 521,594.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,606 : 344,555 = 344,555 : x
  2. Step 2: Convert to fraction form
    227,606/344,555 = 344,555/x
  3. Step 3: Cross multiply
    227,606x = 344,555 × 344,555
  4. Step 4: Simplify right side
    227,606x = 118,718,148,025
  5. Step 5: Solve for x
    x = 118,718,148,025/227,606
  6. Step 6: Final answer
    x = 521,594.98

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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.