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Finding the Third Proportional to 170,893.25 and 368,082.25

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Solution

The third proportional to 170,893.25 and 368,082.25 is: 792,802.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,893.25 : 368,082.25 = 368,082.25 : x
  2. Step 2: Convert to fraction form
    170,893.25/368,082.25 = 368,082.25/x
  3. Step 3: Cross multiply
    170,893.25x = 368,082.25 × 368,082.25
  4. Step 4: Simplify right side
    170,893.25x = 135,484,542,765.06
  5. Step 5: Solve for x
    x = 135,484,542,765.06/170,893.25
  6. Step 6: Final answer
    x = 792,802.19

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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.