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Finding the Third Proportional to 164,041 and 256,997

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Solution

The third proportional to 164,041 and 256,997 is: 402,627.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,041 : 256,997 = 256,997 : x
  2. Step 2: Convert to fraction form
    164,041/256,997 = 256,997/x
  3. Step 3: Cross multiply
    164,041x = 256,997 × 256,997
  4. Step 4: Simplify right side
    164,041x = 66,047,458,009
  5. Step 5: Solve for x
    x = 66,047,458,009/164,041
  6. Step 6: Final answer
    x = 402,627.75

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.