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Finding the Third Proportional to 227,526 and 306,296

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Solution

The third proportional to 227,526 and 306,296 is: 412,336.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,526 : 306,296 = 306,296 : x
  2. Step 2: Convert to fraction form
    227,526/306,296 = 306,296/x
  3. Step 3: Cross multiply
    227,526x = 306,296 × 306,296
  4. Step 4: Simplify right side
    227,526x = 93,817,239,616
  5. Step 5: Solve for x
    x = 93,817,239,616/227,526
  6. Step 6: Final answer
    x = 412,336.35

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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.