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Finding the Third Proportional to 122,622 and 254,028

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Solution

The third proportional to 122,622 and 254,028 is: 526,253.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,622 : 254,028 = 254,028 : x
  2. Step 2: Convert to fraction form
    122,622/254,028 = 254,028/x
  3. Step 3: Cross multiply
    122,622x = 254,028 × 254,028
  4. Step 4: Simplify right side
    122,622x = 64,530,224,784
  5. Step 5: Solve for x
    x = 64,530,224,784/122,622
  6. Step 6: Final answer
    x = 526,253.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.