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Finding the Third Proportional to 375.56 and 548.81

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Solution

The third proportional to 375.56 and 548.81 is: 801.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.56 : 548.81 = 548.81 : x
  2. Step 2: Convert to fraction form
    375.56/548.81 = 548.81/x
  3. Step 3: Cross multiply
    375.56x = 548.81 × 548.81
  4. Step 4: Simplify right side
    375.56x = 301,195.16
  5. Step 5: Solve for x
    x = 301,195.16/375.56
  6. Step 6: Final answer
    x = 801.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.