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Finding the Third Proportional to 1,255.82 and 1,346.94

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Solution

The third proportional to 1,255.82 and 1,346.94 is: 1,444.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.82 : 1,346.94 = 1,346.94 : x
  2. Step 2: Convert to fraction form
    1,255.82/1,346.94 = 1,346.94/x
  3. Step 3: Cross multiply
    1,255.82x = 1,346.94 × 1,346.94
  4. Step 4: Simplify right side
    1,255.82x = 1,814,251.15
  5. Step 5: Solve for x
    x = 1,814,251.15/1,255.82
  6. Step 6: Final answer
    x = 1,444.68

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.