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Finding the Third Proportional to 116,890 and 227,946

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Solution

The third proportional to 116,890 and 227,946 is: 444,515.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,890 : 227,946 = 227,946 : x
  2. Step 2: Convert to fraction form
    116,890/227,946 = 227,946/x
  3. Step 3: Cross multiply
    116,890x = 227,946 × 227,946
  4. Step 4: Simplify right side
    116,890x = 51,959,378,916
  5. Step 5: Solve for x
    x = 51,959,378,916/116,890
  6. Step 6: Final answer
    x = 444,515.18

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.