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Finding the Third Proportional to 106,025.25 and 227,406

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Solution

The third proportional to 106,025.25 and 227,406 is: 487,746.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,025.25 : 227,406 = 227,406 : x
  2. Step 2: Convert to fraction form
    106,025.25/227,406 = 227,406/x
  3. Step 3: Cross multiply
    106,025.25x = 227,406 × 227,406
  4. Step 4: Simplify right side
    106,025.25x = 51,713,488,836
  5. Step 5: Solve for x
    x = 51,713,488,836/106,025.25
  6. Step 6: Final answer
    x = 487,746.92

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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.