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Finding the Third Proportional to 106,308 and 227,880

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Solution

The third proportional to 106,308 and 227,880 is: 488,479.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,308 : 227,880 = 227,880 : x
  2. Step 2: Convert to fraction form
    106,308/227,880 = 227,880/x
  3. Step 3: Cross multiply
    106,308x = 227,880 × 227,880
  4. Step 4: Simplify right side
    106,308x = 51,929,294,400
  5. Step 5: Solve for x
    x = 51,929,294,400/106,308
  6. Step 6: Final answer
    x = 488,479.65

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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.