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Finding the Third Proportional to 171,702 and 262,656

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Solution

The third proportional to 171,702 and 262,656 is: 401,790.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,702 : 262,656 = 262,656 : x
  2. Step 2: Convert to fraction form
    171,702/262,656 = 262,656/x
  3. Step 3: Cross multiply
    171,702x = 262,656 × 262,656
  4. Step 4: Simplify right side
    171,702x = 68,988,174,336
  5. Step 5: Solve for x
    x = 68,988,174,336/171,702
  6. Step 6: Final answer
    x = 401,790.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.