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Finding the Third Proportional to 171,969.75 and 370,305

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Solution

The third proportional to 171,969.75 and 370,305 is: 797,383.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,969.75 : 370,305 = 370,305 : x
  2. Step 2: Convert to fraction form
    171,969.75/370,305 = 370,305/x
  3. Step 3: Cross multiply
    171,969.75x = 370,305 × 370,305
  4. Step 4: Simplify right side
    171,969.75x = 137,125,793,025
  5. Step 5: Solve for x
    x = 137,125,793,025/171,969.75
  6. Step 6: Final answer
    x = 797,383.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.