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Finding the Third Proportional to 140,947 and 215,886

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Solution

The third proportional to 140,947 and 215,886 is: 330,668.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,947 : 215,886 = 215,886 : x
  2. Step 2: Convert to fraction form
    140,947/215,886 = 215,886/x
  3. Step 3: Cross multiply
    140,947x = 215,886 × 215,886
  4. Step 4: Simplify right side
    140,947x = 46,606,764,996
  5. Step 5: Solve for x
    x = 46,606,764,996/140,947
  6. Step 6: Final answer
    x = 330,668.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.