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Finding the Third Proportional to 852.66 and 1,157.34

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Solution

The third proportional to 852.66 and 1,157.34 is: 1,570.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.66 : 1,157.34 = 1,157.34 : x
  2. Step 2: Convert to fraction form
    852.66/1,157.34 = 1,157.34/x
  3. Step 3: Cross multiply
    852.66x = 1,157.34 × 1,157.34
  4. Step 4: Simplify right side
    852.66x = 1,339,444.56
  5. Step 5: Solve for x
    x = 1,339,444.56/852.66
  6. Step 6: Final answer
    x = 1,570.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.