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Finding the Third Proportional to 1,177.03 and 1,696.22

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Solution

The third proportional to 1,177.03 and 1,696.22 is: 2,444.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.03 : 1,696.22 = 1,696.22 : x
  2. Step 2: Convert to fraction form
    1,177.03/1,696.22 = 1,696.22/x
  3. Step 3: Cross multiply
    1,177.03x = 1,696.22 × 1,696.22
  4. Step 4: Simplify right side
    1,177.03x = 2,877,158.05
  5. Step 5: Solve for x
    x = 2,877,158.05/1,177.03
  6. Step 6: Final answer
    x = 2,444.42

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.