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Finding the Third Proportional to 852.50 and 1,199.75

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Solution

The third proportional to 852.50 and 1,199.75 is: 1,688.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.50 : 1,199.75 = 1,199.75 : x
  2. Step 2: Convert to fraction form
    852.50/1,199.75 = 1,199.75/x
  3. Step 3: Cross multiply
    852.50x = 1,199.75 × 1,199.75
  4. Step 4: Simplify right side
    852.50x = 1,439,400.06
  5. Step 5: Solve for x
    x = 1,439,400.06/852.50
  6. Step 6: Final answer
    x = 1,688.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.