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Finding the Third Proportional to 373.86 and 873.21

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Solution

The third proportional to 373.86 and 873.21 is: 2,039.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.86 : 873.21 = 873.21 : x
  2. Step 2: Convert to fraction form
    373.86/873.21 = 873.21/x
  3. Step 3: Cross multiply
    373.86x = 873.21 × 873.21
  4. Step 4: Simplify right side
    373.86x = 762,497.34
  5. Step 5: Solve for x
    x = 762,497.34/373.86
  6. Step 6: Final answer
    x = 2,039.51

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.