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Finding the Third Proportional to 180,708 and 241,497

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Solution

The third proportional to 180,708 and 241,497 is: 322,735.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,708 : 241,497 = 241,497 : x
  2. Step 2: Convert to fraction form
    180,708/241,497 = 241,497/x
  3. Step 3: Cross multiply
    180,708x = 241,497 × 241,497
  4. Step 4: Simplify right side
    180,708x = 58,320,801,009
  5. Step 5: Solve for x
    x = 58,320,801,009/180,708
  6. Step 6: Final answer
    x = 322,735.03

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.