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Finding the Third Proportional to 226,902.75 and 301,876.50

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Solution

The third proportional to 226,902.75 and 301,876.50 is: 401,623.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,902.75 : 301,876.50 = 301,876.50 : x
  2. Step 2: Convert to fraction form
    226,902.75/301,876.50 = 301,876.50/x
  3. Step 3: Cross multiply
    226,902.75x = 301,876.50 × 301,876.50
  4. Step 4: Simplify right side
    226,902.75x = 91,129,421,252.25
  5. Step 5: Solve for x
    x = 91,129,421,252.25/226,902.75
  6. Step 6: Final answer
    x = 401,623.26

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.