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Finding the Third Proportional to 139,941 and 301,986

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Solution

The third proportional to 139,941 and 301,986 is: 651,671.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,941 : 301,986 = 301,986 : x
  2. Step 2: Convert to fraction form
    139,941/301,986 = 301,986/x
  3. Step 3: Cross multiply
    139,941x = 301,986 × 301,986
  4. Step 4: Simplify right side
    139,941x = 91,195,544,196
  5. Step 5: Solve for x
    x = 91,195,544,196/139,941
  6. Step 6: Final answer
    x = 651,671.38

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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.