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Finding the Third Proportional to 174,382 and 262,855

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Solution

The third proportional to 174,382 and 262,855 is: 396,214.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,382 : 262,855 = 262,855 : x
  2. Step 2: Convert to fraction form
    174,382/262,855 = 262,855/x
  3. Step 3: Cross multiply
    174,382x = 262,855 × 262,855
  4. Step 4: Simplify right side
    174,382x = 69,092,751,025
  5. Step 5: Solve for x
    x = 69,092,751,025/174,382
  6. Step 6: Final answer
    x = 396,214.92

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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.