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Finding the Third Proportional to 140,697 and 301,077

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Solution

The third proportional to 140,697 and 301,077 is: 644,273.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,697 : 301,077 = 301,077 : x
  2. Step 2: Convert to fraction form
    140,697/301,077 = 301,077/x
  3. Step 3: Cross multiply
    140,697x = 301,077 × 301,077
  4. Step 4: Simplify right side
    140,697x = 90,647,359,929
  5. Step 5: Solve for x
    x = 90,647,359,929/140,697
  6. Step 6: Final answer
    x = 644,273.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.