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Finding the Third Proportional to 167,355 and 254,949.75

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Solution

The third proportional to 167,355 and 254,949.75 is: 388,392.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,355 : 254,949.75 = 254,949.75 : x
  2. Step 2: Convert to fraction form
    167,355/254,949.75 = 254,949.75/x
  3. Step 3: Cross multiply
    167,355x = 254,949.75 × 254,949.75
  4. Step 4: Simplify right side
    167,355x = 64,999,375,025.06
  5. Step 5: Solve for x
    x = 64,999,375,025.06/167,355
  6. Step 6: Final answer
    x = 388,392.19

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.