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Finding the Third Proportional to 144,826.31 and 224,245.13

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Solution

The third proportional to 144,826.31 and 224,245.13 is: 347,215.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,826.31 : 224,245.13 = 224,245.13 : x
  2. Step 2: Convert to fraction form
    144,826.31/224,245.13 = 224,245.13/x
  3. Step 3: Cross multiply
    144,826.31x = 224,245.13 × 224,245.13
  4. Step 4: Simplify right side
    144,826.31x = 50,285,876,086.27
  5. Step 5: Solve for x
    x = 50,285,876,086.27/144,826.31
  6. Step 6: Final answer
    x = 347,215.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.