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Finding the Third Proportional to 226,135.50 and 332,458.50

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Solution

The third proportional to 226,135.50 and 332,458.50 is: 488,771.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,135.50 : 332,458.50 = 332,458.50 : x
  2. Step 2: Convert to fraction form
    226,135.50/332,458.50 = 332,458.50/x
  3. Step 3: Cross multiply
    226,135.50x = 332,458.50 × 332,458.50
  4. Step 4: Simplify right side
    226,135.50x = 110,528,654,222.25
  5. Step 5: Solve for x
    x = 110,528,654,222.25/226,135.50
  6. Step 6: Final answer
    x = 488,771.79

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.