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Finding the Third Proportional to 171,420.75 and 369,083.25

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Solution

The third proportional to 171,420.75 and 369,083.25 is: 794,667.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,420.75 : 369,083.25 = 369,083.25 : x
  2. Step 2: Convert to fraction form
    171,420.75/369,083.25 = 369,083.25/x
  3. Step 3: Cross multiply
    171,420.75x = 369,083.25 × 369,083.25
  4. Step 4: Simplify right side
    171,420.75x = 136,222,445,430.56
  5. Step 5: Solve for x
    x = 136,222,445,430.56/171,420.75
  6. Step 6: Final answer
    x = 794,667.19

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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.