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Finding the Third Proportional to 226,880 and 333,768

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Solution

The third proportional to 226,880 and 333,768 is: 491,013.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,880 : 333,768 = 333,768 : x
  2. Step 2: Convert to fraction form
    226,880/333,768 = 333,768/x
  3. Step 3: Cross multiply
    226,880x = 333,768 × 333,768
  4. Step 4: Simplify right side
    226,880x = 111,401,077,824
  5. Step 5: Solve for x
    x = 111,401,077,824/226,880
  6. Step 6: Final answer
    x = 491,013.21

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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.