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Finding the Third Proportional to 226,066.50 and 332,295.75

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Solution

The third proportional to 226,066.50 and 332,295.75 is: 488,442.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,066.50 : 332,295.75 = 332,295.75 : x
  2. Step 2: Convert to fraction form
    226,066.50/332,295.75 = 332,295.75/x
  3. Step 3: Cross multiply
    226,066.50x = 332,295.75 × 332,295.75
  4. Step 4: Simplify right side
    226,066.50x = 110,420,465,468.06
  5. Step 5: Solve for x
    x = 110,420,465,468.06/226,066.50
  6. Step 6: Final answer
    x = 488,442.41

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Why These Related Problems?

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