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Finding the Third Proportional to 342.75 and 847.88

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Solution

The third proportional to 342.75 and 847.88 is: 2,097.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.75 : 847.88 = 847.88 : x
  2. Step 2: Convert to fraction form
    342.75/847.88 = 847.88/x
  3. Step 3: Cross multiply
    342.75x = 847.88 × 847.88
  4. Step 4: Simplify right side
    342.75x = 718,892.02
  5. Step 5: Solve for x
    x = 718,892.02/342.75
  6. Step 6: Final answer
    x = 2,097.42

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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.