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Finding the Third Proportional to 241.64 and 375.08

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Solution

The third proportional to 241.64 and 375.08 is: 582.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.64 : 375.08 = 375.08 : x
  2. Step 2: Convert to fraction form
    241.64/375.08 = 375.08/x
  3. Step 3: Cross multiply
    241.64x = 375.08 × 375.08
  4. Step 4: Simplify right side
    241.64x = 140,686.53
  5. Step 5: Solve for x
    x = 140,686.53/241.64
  6. Step 6: Final answer
    x = 582.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.