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Finding the Third Proportional to 103,234.50 and 226,759.50

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Solution

The third proportional to 103,234.50 and 226,759.50 is: 498,088.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,234.50 : 226,759.50 = 226,759.50 : x
  2. Step 2: Convert to fraction form
    103,234.50/226,759.50 = 226,759.50/x
  3. Step 3: Cross multiply
    103,234.50x = 226,759.50 × 226,759.50
  4. Step 4: Simplify right side
    103,234.50x = 51,419,870,840.25
  5. Step 5: Solve for x
    x = 51,419,870,840.25/103,234.50
  6. Step 6: Final answer
    x = 498,088.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.