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Finding the Third Proportional to 148,078 and 211,041

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Solution

The third proportional to 148,078 and 211,041 is: 300,775.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,078 : 211,041 = 211,041 : x
  2. Step 2: Convert to fraction form
    148,078/211,041 = 211,041/x
  3. Step 3: Cross multiply
    148,078x = 211,041 × 211,041
  4. Step 4: Simplify right side
    148,078x = 44,538,303,681
  5. Step 5: Solve for x
    x = 44,538,303,681/148,078
  6. Step 6: Final answer
    x = 300,775.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.