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Finding the Third Proportional to 148,522 and 197,977

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Solution

The third proportional to 148,522 and 197,977 is: 263,899.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,522 : 197,977 = 197,977 : x
  2. Step 2: Convert to fraction form
    148,522/197,977 = 197,977/x
  3. Step 3: Cross multiply
    148,522x = 197,977 × 197,977
  4. Step 4: Simplify right side
    148,522x = 39,194,892,529
  5. Step 5: Solve for x
    x = 39,194,892,529/148,522
  6. Step 6: Final answer
    x = 263,899.57

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.