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Finding the Third Proportional to 163,622 and 230,361

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Solution

The third proportional to 163,622 and 230,361 is: 324,321.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,622 : 230,361 = 230,361 : x
  2. Step 2: Convert to fraction form
    163,622/230,361 = 230,361/x
  3. Step 3: Cross multiply
    163,622x = 230,361 × 230,361
  4. Step 4: Simplify right side
    163,622x = 53,066,190,321
  5. Step 5: Solve for x
    x = 53,066,190,321/163,622
  6. Step 6: Final answer
    x = 324,321.85

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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.