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Finding the Third Proportional to 174,419 and 262,906

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Solution

The third proportional to 174,419 and 262,906 is: 396,284.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,419 : 262,906 = 262,906 : x
  2. Step 2: Convert to fraction form
    174,419/262,906 = 262,906/x
  3. Step 3: Cross multiply
    174,419x = 262,906 × 262,906
  4. Step 4: Simplify right side
    174,419x = 69,119,564,836
  5. Step 5: Solve for x
    x = 69,119,564,836/174,419
  6. Step 6: Final answer
    x = 396,284.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.