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Finding the Third Proportional to 850.50 and 1,192.22

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Solution

The third proportional to 850.50 and 1,192.22 is: 1,671.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.50 : 1,192.22 = 1,192.22 : x
  2. Step 2: Convert to fraction form
    850.50/1,192.22 = 1,192.22/x
  3. Step 3: Cross multiply
    850.50x = 1,192.22 × 1,192.22
  4. Step 4: Simplify right side
    850.50x = 1,421,385.55
  5. Step 5: Solve for x
    x = 1,421,385.55/850.50
  6. Step 6: Final answer
    x = 1,671.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.