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Finding the Third Proportional to 113,399.44 and 243,609.19

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Solution

The third proportional to 113,399.44 and 243,609.19 is: 523,330.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,399.44 : 243,609.19 = 243,609.19 : x
  2. Step 2: Convert to fraction form
    113,399.44/243,609.19 = 243,609.19/x
  3. Step 3: Cross multiply
    113,399.44x = 243,609.19 × 243,609.19
  4. Step 4: Simplify right side
    113,399.44x = 59,345,436,234.41
  5. Step 5: Solve for x
    x = 59,345,436,234.41/113,399.44
  6. Step 6: Final answer
    x = 523,330.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.