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Finding the Third Proportional to 174,043 and 380,041

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Solution

The third proportional to 174,043 and 380,041 is: 829,859.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,043 : 380,041 = 380,041 : x
  2. Step 2: Convert to fraction form
    174,043/380,041 = 380,041/x
  3. Step 3: Cross multiply
    174,043x = 380,041 × 380,041
  4. Step 4: Simplify right side
    174,043x = 144,431,161,681
  5. Step 5: Solve for x
    x = 144,431,161,681/174,043
  6. Step 6: Final answer
    x = 829,859.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.