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Finding the Third Proportional to 750.25 and 1,168

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Solution

The third proportional to 750.25 and 1,168 is: 1,818.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.25 : 1,168 = 1,168 : x
  2. Step 2: Convert to fraction form
    750.25/1,168 = 1,168/x
  3. Step 3: Cross multiply
    750.25x = 1,168 × 1,168
  4. Step 4: Simplify right side
    750.25x = 1,364,224
  5. Step 5: Solve for x
    x = 1,364,224/750.25
  6. Step 6: Final answer
    x = 1,818.36

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.