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Finding the Third Proportional to 161,622 and 255,794

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Solution

The third proportional to 161,622 and 255,794 is: 404,837.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,622 : 255,794 = 255,794 : x
  2. Step 2: Convert to fraction form
    161,622/255,794 = 255,794/x
  3. Step 3: Cross multiply
    161,622x = 255,794 × 255,794
  4. Step 4: Simplify right side
    161,622x = 65,430,570,436
  5. Step 5: Solve for x
    x = 65,430,570,436/161,622
  6. Step 6: Final answer
    x = 404,837.03

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.