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Finding the Third Proportional to 1,202.91 and 1,294.03

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Solution

The third proportional to 1,202.91 and 1,294.03 is: 1,392.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.91 : 1,294.03 = 1,294.03 : x
  2. Step 2: Convert to fraction form
    1,202.91/1,294.03 = 1,294.03/x
  3. Step 3: Cross multiply
    1,202.91x = 1,294.03 × 1,294.03
  4. Step 4: Simplify right side
    1,202.91x = 1,674,516.88
  5. Step 5: Solve for x
    x = 1,674,516.88/1,202.91
  6. Step 6: Final answer
    x = 1,392.06

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.