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Finding the Third Proportional to 190,940 and 377,058

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Solution

The third proportional to 190,940 and 377,058 is: 744,593.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,940 : 377,058 = 377,058 : x
  2. Step 2: Convert to fraction form
    190,940/377,058 = 377,058/x
  3. Step 3: Cross multiply
    190,940x = 377,058 × 377,058
  4. Step 4: Simplify right side
    190,940x = 142,172,735,364
  5. Step 5: Solve for x
    x = 142,172,735,364/190,940
  6. Step 6: Final answer
    x = 744,593.77

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.