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Finding the Third Proportional to 139,028 and 230,109

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Solution

The third proportional to 139,028 and 230,109 is: 380,859.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,028 : 230,109 = 230,109 : x
  2. Step 2: Convert to fraction form
    139,028/230,109 = 230,109/x
  3. Step 3: Cross multiply
    139,028x = 230,109 × 230,109
  4. Step 4: Simplify right side
    139,028x = 52,950,151,881
  5. Step 5: Solve for x
    x = 52,950,151,881/139,028
  6. Step 6: Final answer
    x = 380,859.62

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.