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Finding the Third Proportional to 170,100 and 366,201

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Solution

The third proportional to 170,100 and 366,201 is: 788,378.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,100 : 366,201 = 366,201 : x
  2. Step 2: Convert to fraction form
    170,100/366,201 = 366,201/x
  3. Step 3: Cross multiply
    170,100x = 366,201 × 366,201
  4. Step 4: Simplify right side
    170,100x = 134,103,172,401
  5. Step 5: Solve for x
    x = 134,103,172,401/170,100
  6. Step 6: Final answer
    x = 788,378.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.