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Finding the Third Proportional to 174,474 and 380,692

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Solution

The third proportional to 174,474 and 380,692 is: 830,647.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,474 : 380,692 = 380,692 : x
  2. Step 2: Convert to fraction form
    174,474/380,692 = 380,692/x
  3. Step 3: Cross multiply
    174,474x = 380,692 × 380,692
  4. Step 4: Simplify right side
    174,474x = 144,926,398,864
  5. Step 5: Solve for x
    x = 144,926,398,864/174,474
  6. Step 6: Final answer
    x = 830,647.54

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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.