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Finding the Third Proportional to 148,058 and 211,015

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Solution

The third proportional to 148,058 and 211,015 is: 300,742.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,058 : 211,015 = 211,015 : x
  2. Step 2: Convert to fraction form
    148,058/211,015 = 211,015/x
  3. Step 3: Cross multiply
    148,058x = 211,015 × 211,015
  4. Step 4: Simplify right side
    148,058x = 44,527,330,225
  5. Step 5: Solve for x
    x = 44,527,330,225/148,058
  6. Step 6: Final answer
    x = 300,742.48

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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.