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Finding the Third Proportional to 174,964 and 246,555

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Solution

The third proportional to 174,964 and 246,555 is: 347,439.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,964 : 246,555 = 246,555 : x
  2. Step 2: Convert to fraction form
    174,964/246,555 = 246,555/x
  3. Step 3: Cross multiply
    174,964x = 246,555 × 246,555
  4. Step 4: Simplify right side
    174,964x = 60,789,368,025
  5. Step 5: Solve for x
    x = 60,789,368,025/174,964
  6. Step 6: Final answer
    x = 347,439.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.