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Finding the Third Proportional to 139,769 and 301,668

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Solution

The third proportional to 139,769 and 301,668 is: 651,099.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,769 : 301,668 = 301,668 : x
  2. Step 2: Convert to fraction form
    139,769/301,668 = 301,668/x
  3. Step 3: Cross multiply
    139,769x = 301,668 × 301,668
  4. Step 4: Simplify right side
    139,769x = 91,003,582,224
  5. Step 5: Solve for x
    x = 91,003,582,224/139,769
  6. Step 6: Final answer
    x = 651,099.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.