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Finding the Third Proportional to 174,549 and 380,201

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Solution

The third proportional to 174,549 and 380,201 is: 828,150.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,549 : 380,201 = 380,201 : x
  2. Step 2: Convert to fraction form
    174,549/380,201 = 380,201/x
  3. Step 3: Cross multiply
    174,549x = 380,201 × 380,201
  4. Step 4: Simplify right side
    174,549x = 144,552,800,401
  5. Step 5: Solve for x
    x = 144,552,800,401/174,549
  6. Step 6: Final answer
    x = 828,150.26

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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.