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Finding the Third Proportional to 223,106 and 318,012

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Solution

The third proportional to 223,106 and 318,012 is: 453,289.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,106 : 318,012 = 318,012 : x
  2. Step 2: Convert to fraction form
    223,106/318,012 = 318,012/x
  3. Step 3: Cross multiply
    223,106x = 318,012 × 318,012
  4. Step 4: Simplify right side
    223,106x = 101,131,632,144
  5. Step 5: Solve for x
    x = 101,131,632,144/223,106
  6. Step 6: Final answer
    x = 453,289.61

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.