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Finding the Third Proportional to 106,445 and 227,344

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Solution

The third proportional to 106,445 and 227,344 is: 485,558.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,445 : 227,344 = 227,344 : x
  2. Step 2: Convert to fraction form
    106,445/227,344 = 227,344/x
  3. Step 3: Cross multiply
    106,445x = 227,344 × 227,344
  4. Step 4: Simplify right side
    106,445x = 51,685,294,336
  5. Step 5: Solve for x
    x = 51,685,294,336/106,445
  6. Step 6: Final answer
    x = 485,558.69

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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.