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Finding the Third Proportional to 106,470 and 227,223

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Solution

The third proportional to 106,470 and 227,223 is: 484,928.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,470 : 227,223 = 227,223 : x
  2. Step 2: Convert to fraction form
    106,470/227,223 = 227,223/x
  3. Step 3: Cross multiply
    106,470x = 227,223 × 227,223
  4. Step 4: Simplify right side
    106,470x = 51,630,291,729
  5. Step 5: Solve for x
    x = 51,630,291,729/106,470
  6. Step 6: Final answer
    x = 484,928.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.