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Finding the Third Proportional to 118,333 and 258,050

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Solution

The third proportional to 118,333 and 258,050 is: 562,732.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,333 : 258,050 = 258,050 : x
  2. Step 2: Convert to fraction form
    118,333/258,050 = 258,050/x
  3. Step 3: Cross multiply
    118,333x = 258,050 × 258,050
  4. Step 4: Simplify right side
    118,333x = 66,589,802,500
  5. Step 5: Solve for x
    x = 66,589,802,500/118,333
  6. Step 6: Final answer
    x = 562,732.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.