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Finding the Third Proportional to 226,144 and 351,668

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Solution

The third proportional to 226,144 and 351,668 is: 546,865.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,144 : 351,668 = 351,668 : x
  2. Step 2: Convert to fraction form
    226,144/351,668 = 351,668/x
  3. Step 3: Cross multiply
    226,144x = 351,668 × 351,668
  4. Step 4: Simplify right side
    226,144x = 123,670,382,224
  5. Step 5: Solve for x
    x = 123,670,382,224/226,144
  6. Step 6: Final answer
    x = 546,865.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.