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Finding the Third Proportional to 106,480 and 227,734

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Solution

The third proportional to 106,480 and 227,734 is: 487,065.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,480 : 227,734 = 227,734 : x
  2. Step 2: Convert to fraction form
    106,480/227,734 = 227,734/x
  3. Step 3: Cross multiply
    106,480x = 227,734 × 227,734
  4. Step 4: Simplify right side
    106,480x = 51,862,774,756
  5. Step 5: Solve for x
    x = 51,862,774,756/106,480
  6. Step 6: Final answer
    x = 487,065.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.