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Finding the Third Proportional to 169,594.25 and 368,665.75

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Solution

The third proportional to 169,594.25 and 368,665.75 is: 801,409.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,594.25 : 368,665.75 = 368,665.75 : x
  2. Step 2: Convert to fraction form
    169,594.25/368,665.75 = 368,665.75/x
  3. Step 3: Cross multiply
    169,594.25x = 368,665.75 × 368,665.75
  4. Step 4: Simplify right side
    169,594.25x = 135,914,435,223.06
  5. Step 5: Solve for x
    x = 135,914,435,223.06/169,594.25
  6. Step 6: Final answer
    x = 801,409.45

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