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Finding the Third Proportional to 167,024 and 258,664

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Solution

The third proportional to 167,024 and 258,664 is: 400,583.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,024 : 258,664 = 258,664 : x
  2. Step 2: Convert to fraction form
    167,024/258,664 = 258,664/x
  3. Step 3: Cross multiply
    167,024x = 258,664 × 258,664
  4. Step 4: Simplify right side
    167,024x = 66,907,064,896
  5. Step 5: Solve for x
    x = 66,907,064,896/167,024
  6. Step 6: Final answer
    x = 400,583.54

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.