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Finding the Third Proportional to 171,144 and 372,120

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Solution

The third proportional to 171,144 and 372,120 is: 809,104.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,144 : 372,120 = 372,120 : x
  2. Step 2: Convert to fraction form
    171,144/372,120 = 372,120/x
  3. Step 3: Cross multiply
    171,144x = 372,120 × 372,120
  4. Step 4: Simplify right side
    171,144x = 138,473,294,400
  5. Step 5: Solve for x
    x = 138,473,294,400/171,144
  6. Step 6: Final answer
    x = 809,104.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.