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Finding the Third Proportional to 164,535.75 and 349,832.25

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Solution

The third proportional to 164,535.75 and 349,832.25 is: 743,805.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,535.75 : 349,832.25 = 349,832.25 : x
  2. Step 2: Convert to fraction form
    164,535.75/349,832.25 = 349,832.25/x
  3. Step 3: Cross multiply
    164,535.75x = 349,832.25 × 349,832.25
  4. Step 4: Simplify right side
    164,535.75x = 122,382,603,140.06
  5. Step 5: Solve for x
    x = 122,382,603,140.06/164,535.75
  6. Step 6: Final answer
    x = 743,805.54

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.