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Finding the Third Proportional to 190,937 and 377,054

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Solution

The third proportional to 190,937 and 377,054 is: 744,589.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,937 : 377,054 = 377,054 : x
  2. Step 2: Convert to fraction form
    190,937/377,054 = 377,054/x
  3. Step 3: Cross multiply
    190,937x = 377,054 × 377,054
  4. Step 4: Simplify right side
    190,937x = 142,169,718,916
  5. Step 5: Solve for x
    x = 142,169,718,916/190,937
  6. Step 6: Final answer
    x = 744,589.68

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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.