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Finding the Third Proportional to 131,058 and 197,670

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Solution

The third proportional to 131,058 and 197,670 is: 298,138.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,058 : 197,670 = 197,670 : x
  2. Step 2: Convert to fraction form
    131,058/197,670 = 197,670/x
  3. Step 3: Cross multiply
    131,058x = 197,670 × 197,670
  4. Step 4: Simplify right side
    131,058x = 39,073,428,900
  5. Step 5: Solve for x
    x = 39,073,428,900/131,058
  6. Step 6: Final answer
    x = 298,138.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.