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Finding the Third Proportional to 1,190.67 and 1,696.08

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Solution

The third proportional to 1,190.67 and 1,696.08 is: 2,416.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.67 : 1,696.08 = 1,696.08 : x
  2. Step 2: Convert to fraction form
    1,190.67/1,696.08 = 1,696.08/x
  3. Step 3: Cross multiply
    1,190.67x = 1,696.08 × 1,696.08
  4. Step 4: Simplify right side
    1,190.67x = 2,876,681.01
  5. Step 5: Solve for x
    x = 2,876,681.01/1,190.67
  6. Step 6: Final answer
    x = 2,416.01

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.