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Finding the Third Proportional to 170,203.50 and 366,664.50

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Solution

The third proportional to 170,203.50 and 366,664.50 is: 789,894.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,203.50 : 366,664.50 = 366,664.50 : x
  2. Step 2: Convert to fraction form
    170,203.50/366,664.50 = 366,664.50/x
  3. Step 3: Cross multiply
    170,203.50x = 366,664.50 × 366,664.50
  4. Step 4: Simplify right side
    170,203.50x = 134,442,855,560.25
  5. Step 5: Solve for x
    x = 134,442,855,560.25/170,203.50
  6. Step 6: Final answer
    x = 789,894.78

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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.