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Finding the Third Proportional to 851.19 and 1,204.50

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Solution

The third proportional to 851.19 and 1,204.50 is: 1,704.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.19 : 1,204.50 = 1,204.50 : x
  2. Step 2: Convert to fraction form
    851.19/1,204.50 = 1,204.50/x
  3. Step 3: Cross multiply
    851.19x = 1,204.50 × 1,204.50
  4. Step 4: Simplify right side
    851.19x = 1,450,820.25
  5. Step 5: Solve for x
    x = 1,450,820.25/851.19
  6. Step 6: Final answer
    x = 1,704.47

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.