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Finding the Third Proportional to 117,622 and 254,036

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Solution

The third proportional to 117,622 and 254,036 is: 548,658.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,622 : 254,036 = 254,036 : x
  2. Step 2: Convert to fraction form
    117,622/254,036 = 254,036/x
  3. Step 3: Cross multiply
    117,622x = 254,036 × 254,036
  4. Step 4: Simplify right side
    117,622x = 64,534,289,296
  5. Step 5: Solve for x
    x = 64,534,289,296/117,622
  6. Step 6: Final answer
    x = 548,658.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.