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Finding the Third Proportional to 148,842 and 212,193

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Solution

The third proportional to 148,842 and 212,193 is: 302,507.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,842 : 212,193 = 212,193 : x
  2. Step 2: Convert to fraction form
    148,842/212,193 = 212,193/x
  3. Step 3: Cross multiply
    148,842x = 212,193 × 212,193
  4. Step 4: Simplify right side
    148,842x = 45,025,869,249
  5. Step 5: Solve for x
    x = 45,025,869,249/148,842
  6. Step 6: Final answer
    x = 302,507.82

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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.