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Finding the Third Proportional to 116,721 and 227,610

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Solution

The third proportional to 116,721 and 227,610 is: 443,847.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,721 : 227,610 = 227,610 : x
  2. Step 2: Convert to fraction form
    116,721/227,610 = 227,610/x
  3. Step 3: Cross multiply
    116,721x = 227,610 × 227,610
  4. Step 4: Simplify right side
    116,721x = 51,806,312,100
  5. Step 5: Solve for x
    x = 51,806,312,100/116,721
  6. Step 6: Final answer
    x = 443,847.40

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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.