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Finding the Third Proportional to 103,458.75 and 226,296.75

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Solution

The third proportional to 103,458.75 and 226,296.75 is: 494,982.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,458.75 : 226,296.75 = 226,296.75 : x
  2. Step 2: Convert to fraction form
    103,458.75/226,296.75 = 226,296.75/x
  3. Step 3: Cross multiply
    103,458.75x = 226,296.75 × 226,296.75
  4. Step 4: Simplify right side
    103,458.75x = 51,210,219,060.56
  5. Step 5: Solve for x
    x = 51,210,219,060.56/103,458.75
  6. Step 6: Final answer
    x = 494,982.00

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.