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Finding the Third Proportional to 170,052.50 and 371,190.50

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Solution

The third proportional to 170,052.50 and 371,190.50 is: 810,234.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,052.50 : 371,190.50 = 371,190.50 : x
  2. Step 2: Convert to fraction form
    170,052.50/371,190.50 = 371,190.50/x
  3. Step 3: Cross multiply
    170,052.50x = 371,190.50 × 371,190.50
  4. Step 4: Simplify right side
    170,052.50x = 137,782,387,290.25
  5. Step 5: Solve for x
    x = 137,782,387,290.25/170,052.50
  6. Step 6: Final answer
    x = 810,234.41

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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.