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Finding the Third Proportional to 343.75 and 847.75

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Solution

The third proportional to 343.75 and 847.75 is: 2,090.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.75 : 847.75 = 847.75 : x
  2. Step 2: Convert to fraction form
    343.75/847.75 = 847.75/x
  3. Step 3: Cross multiply
    343.75x = 847.75 × 847.75
  4. Step 4: Simplify right side
    343.75x = 718,680.06
  5. Step 5: Solve for x
    x = 718,680.06/343.75
  6. Step 6: Final answer
    x = 2,090.71

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.