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Finding the Third Proportional to 361.50 and 554.25

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Solution

The third proportional to 361.50 and 554.25 is: 849.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.50 : 554.25 = 554.25 : x
  2. Step 2: Convert to fraction form
    361.50/554.25 = 554.25/x
  3. Step 3: Cross multiply
    361.50x = 554.25 × 554.25
  4. Step 4: Simplify right side
    361.50x = 307,193.06
  5. Step 5: Solve for x
    x = 307,193.06/361.50
  6. Step 6: Final answer
    x = 849.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.