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Finding the Third Proportional to 116,201.50 and 246,355.50

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Solution

The third proportional to 116,201.50 and 246,355.50 is: 522,291.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,201.50 : 246,355.50 = 246,355.50 : x
  2. Step 2: Convert to fraction form
    116,201.50/246,355.50 = 246,355.50/x
  3. Step 3: Cross multiply
    116,201.50x = 246,355.50 × 246,355.50
  4. Step 4: Simplify right side
    116,201.50x = 60,691,032,380.25
  5. Step 5: Solve for x
    x = 60,691,032,380.25/116,201.50
  6. Step 6: Final answer
    x = 522,291.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.