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Finding the Third Proportional to 227,673 and 342,244.50

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Solution

The third proportional to 227,673 and 342,244.50 is: 514,471.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,673 : 342,244.50 = 342,244.50 : x
  2. Step 2: Convert to fraction form
    227,673/342,244.50 = 342,244.50/x
  3. Step 3: Cross multiply
    227,673x = 342,244.50 × 342,244.50
  4. Step 4: Simplify right side
    227,673x = 117,131,297,780.25
  5. Step 5: Solve for x
    x = 117,131,297,780.25/227,673
  6. Step 6: Final answer
    x = 514,471.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.