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Finding the Third Proportional to 174,539 and 380,182

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Solution

The third proportional to 174,539 and 380,182 is: 828,114.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,539 : 380,182 = 380,182 : x
  2. Step 2: Convert to fraction form
    174,539/380,182 = 380,182/x
  3. Step 3: Cross multiply
    174,539x = 380,182 × 380,182
  4. Step 4: Simplify right side
    174,539x = 144,538,353,124
  5. Step 5: Solve for x
    x = 144,538,353,124/174,539
  6. Step 6: Final answer
    x = 828,114.94

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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.