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Finding the Third Proportional to 113,350 and 264,745

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Solution

The third proportional to 113,350 and 264,745 is: 618,349.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,350 : 264,745 = 264,745 : x
  2. Step 2: Convert to fraction form
    113,350/264,745 = 264,745/x
  3. Step 3: Cross multiply
    113,350x = 264,745 × 264,745
  4. Step 4: Simplify right side
    113,350x = 70,089,915,025
  5. Step 5: Solve for x
    x = 70,089,915,025/113,350
  6. Step 6: Final answer
    x = 618,349.49

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.