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Finding the Third Proportional to 375.05 and 868.08

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Solution

The third proportional to 375.05 and 868.08 is: 2,009.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.05 : 868.08 = 868.08 : x
  2. Step 2: Convert to fraction form
    375.05/868.08 = 868.08/x
  3. Step 3: Cross multiply
    375.05x = 868.08 × 868.08
  4. Step 4: Simplify right side
    375.05x = 753,559.63
  5. Step 5: Solve for x
    x = 753,559.63/375.05
  6. Step 6: Final answer
    x = 2,009.24

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.