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Finding the Third Proportional to 887.06 and 1,181.91

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Solution

The third proportional to 887.06 and 1,181.91 is: 1,574.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.06 : 1,181.91 = 1,181.91 : x
  2. Step 2: Convert to fraction form
    887.06/1,181.91 = 1,181.91/x
  3. Step 3: Cross multiply
    887.06x = 1,181.91 × 1,181.91
  4. Step 4: Simplify right side
    887.06x = 1,396,902.38
  5. Step 5: Solve for x
    x = 1,396,902.38/887.06
  6. Step 6: Final answer
    x = 1,574.75

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.