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Finding the Third Proportional to 139,932 and 301,977

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Solution

The third proportional to 139,932 and 301,977 is: 651,674.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,932 : 301,977 = 301,977 : x
  2. Step 2: Convert to fraction form
    139,932/301,977 = 301,977/x
  3. Step 3: Cross multiply
    139,932x = 301,977 × 301,977
  4. Step 4: Simplify right side
    139,932x = 91,190,108,529
  5. Step 5: Solve for x
    x = 91,190,108,529/139,932
  6. Step 6: Final answer
    x = 651,674.45

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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.