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Finding the Third Proportional to 109,659 and 227,094

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Solution

The third proportional to 109,659 and 227,094 is: 470,291.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,659 : 227,094 = 227,094 : x
  2. Step 2: Convert to fraction form
    109,659/227,094 = 227,094/x
  3. Step 3: Cross multiply
    109,659x = 227,094 × 227,094
  4. Step 4: Simplify right side
    109,659x = 51,571,684,836
  5. Step 5: Solve for x
    x = 51,571,684,836/109,659
  6. Step 6: Final answer
    x = 470,291.40

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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.