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Finding the Third Proportional to 227,544 and 306,318

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Solution

The third proportional to 227,544 and 306,318 is: 412,362.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,544 : 306,318 = 306,318 : x
  2. Step 2: Convert to fraction form
    227,544/306,318 = 306,318/x
  3. Step 3: Cross multiply
    227,544x = 306,318 × 306,318
  4. Step 4: Simplify right side
    227,544x = 93,830,717,124
  5. Step 5: Solve for x
    x = 93,830,717,124/227,544
  6. Step 6: Final answer
    x = 412,362.96

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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.