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Finding the Third Proportional to 174,555 and 380,214

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Solution

The third proportional to 174,555 and 380,214 is: 828,178.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,555 : 380,214 = 380,214 : x
  2. Step 2: Convert to fraction form
    174,555/380,214 = 380,214/x
  3. Step 3: Cross multiply
    174,555x = 380,214 × 380,214
  4. Step 4: Simplify right side
    174,555x = 144,562,685,796
  5. Step 5: Solve for x
    x = 144,562,685,796/174,555
  6. Step 6: Final answer
    x = 828,178.43

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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.