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Finding the Third Proportional to 241.59 and 345.16

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Solution

The third proportional to 241.59 and 345.16 is: 493.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.59 : 345.16 = 345.16 : x
  2. Step 2: Convert to fraction form
    241.59/345.16 = 345.16/x
  3. Step 3: Cross multiply
    241.59x = 345.16 × 345.16
  4. Step 4: Simplify right side
    241.59x = 119,138.23
  5. Step 5: Solve for x
    x = 119,138.23/241.59
  6. Step 6: Final answer
    x = 493.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.