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Finding the Third Proportional to 169,380 and 368,291.25

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Solution

The third proportional to 169,380 and 368,291.25 is: 800,793.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,380 : 368,291.25 = 368,291.25 : x
  2. Step 2: Convert to fraction form
    169,380/368,291.25 = 368,291.25/x
  3. Step 3: Cross multiply
    169,380x = 368,291.25 × 368,291.25
  4. Step 4: Simplify right side
    169,380x = 135,638,444,826.56
  5. Step 5: Solve for x
    x = 135,638,444,826.56/169,380
  6. Step 6: Final answer
    x = 800,793.75

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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.