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Finding the Third Proportional to 116,623.13 and 244,996.31

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Solution

The third proportional to 116,623.13 and 244,996.31 is: 514,676.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,623.13 : 244,996.31 = 244,996.31 : x
  2. Step 2: Convert to fraction form
    116,623.13/244,996.31 = 244,996.31/x
  3. Step 3: Cross multiply
    116,623.13x = 244,996.31 × 244,996.31
  4. Step 4: Simplify right side
    116,623.13x = 60,023,193,138.60
  5. Step 5: Solve for x
    x = 60,023,193,138.60/116,623.13
  6. Step 6: Final answer
    x = 514,676.60

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.