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Finding the Third Proportional to 148,058 and 211,014

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Solution

The third proportional to 148,058 and 211,014 is: 300,739.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,058 : 211,014 = 211,014 : x
  2. Step 2: Convert to fraction form
    148,058/211,014 = 211,014/x
  3. Step 3: Cross multiply
    148,058x = 211,014 × 211,014
  4. Step 4: Simplify right side
    148,058x = 44,526,908,196
  5. Step 5: Solve for x
    x = 44,526,908,196/148,058
  6. Step 6: Final answer
    x = 300,739.63

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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.