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Finding the Third Proportional to 227,546 and 306,321

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Solution

The third proportional to 227,546 and 306,321 is: 412,367.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,546 : 306,321 = 306,321 : x
  2. Step 2: Convert to fraction form
    227,546/306,321 = 306,321/x
  3. Step 3: Cross multiply
    227,546x = 306,321 × 306,321
  4. Step 4: Simplify right side
    227,546x = 93,832,555,041
  5. Step 5: Solve for x
    x = 93,832,555,041/227,546
  6. Step 6: Final answer
    x = 412,367.41

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.