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Finding the Third Proportional to 1,223.13 and 1,660.63

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Solution

The third proportional to 1,223.13 and 1,660.63 is: 2,254.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.13 : 1,660.63 = 1,660.63 : x
  2. Step 2: Convert to fraction form
    1,223.13/1,660.63 = 1,660.63/x
  3. Step 3: Cross multiply
    1,223.13x = 1,660.63 × 1,660.63
  4. Step 4: Simplify right side
    1,223.13x = 2,757,675.39
  5. Step 5: Solve for x
    x = 2,757,675.39/1,223.13
  6. Step 6: Final answer
    x = 2,254.61

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