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Finding the Third Proportional to 139,774 and 301,676

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Solution

The third proportional to 139,774 and 301,676 is: 651,111.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,774 : 301,676 = 301,676 : x
  2. Step 2: Convert to fraction form
    139,774/301,676 = 301,676/x
  3. Step 3: Cross multiply
    139,774x = 301,676 × 301,676
  4. Step 4: Simplify right side
    139,774x = 91,008,408,976
  5. Step 5: Solve for x
    x = 91,008,408,976/139,774
  6. Step 6: Final answer
    x = 651,111.14

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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.