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Finding the Third Proportional to 180,710 and 241,500

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Solution

The third proportional to 180,710 and 241,500 is: 322,739.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,710 : 241,500 = 241,500 : x
  2. Step 2: Convert to fraction form
    180,710/241,500 = 241,500/x
  3. Step 3: Cross multiply
    180,710x = 241,500 × 241,500
  4. Step 4: Simplify right side
    180,710x = 58,322,250,000
  5. Step 5: Solve for x
    x = 58,322,250,000/180,710
  6. Step 6: Final answer
    x = 322,739.47

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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.