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Finding the Third Proportional to 241,665 and 355,098

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Solution

The third proportional to 241,665 and 355,098 is: 521,774.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,665 : 355,098 = 355,098 : x
  2. Step 2: Convert to fraction form
    241,665/355,098 = 355,098/x
  3. Step 3: Cross multiply
    241,665x = 355,098 × 355,098
  4. Step 4: Simplify right side
    241,665x = 126,094,589,604
  5. Step 5: Solve for x
    x = 126,094,589,604/241,665
  6. Step 6: Final answer
    x = 521,774.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.