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Finding the Third Proportional to 743.25 and 1,143.75

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Solution

The third proportional to 743.25 and 1,143.75 is: 1,760.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.25 : 1,143.75 = 1,143.75 : x
  2. Step 2: Convert to fraction form
    743.25/1,143.75 = 1,143.75/x
  3. Step 3: Cross multiply
    743.25x = 1,143.75 × 1,143.75
  4. Step 4: Simplify right side
    743.25x = 1,308,164.06
  5. Step 5: Solve for x
    x = 1,308,164.06/743.25
  6. Step 6: Final answer
    x = 1,760.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.