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Finding the Third Proportional to 163,653.50 and 253,993

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Solution

The third proportional to 163,653.50 and 253,993 is: 394,201.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,653.50 : 253,993 = 253,993 : x
  2. Step 2: Convert to fraction form
    163,653.50/253,993 = 253,993/x
  3. Step 3: Cross multiply
    163,653.50x = 253,993 × 253,993
  4. Step 4: Simplify right side
    163,653.50x = 64,512,444,049
  5. Step 5: Solve for x
    x = 64,512,444,049/163,653.50
  6. Step 6: Final answer
    x = 394,201.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.