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Finding the Third Proportional to 1,173.23 and 1,757.00

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Solution

The third proportional to 1,173.23 and 1,757.00 is: 2,631.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.23 : 1,757.00 = 1,757.00 : x
  2. Step 2: Convert to fraction form
    1,173.23/1,757.00 = 1,757.00/x
  3. Step 3: Cross multiply
    1,173.23x = 1,757.00 × 1,757.00
  4. Step 4: Simplify right side
    1,173.23x = 3,087,062.73
  5. Step 5: Solve for x
    x = 3,087,062.73/1,173.23
  6. Step 6: Final answer
    x = 2,631.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.