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Finding the Third Proportional to 140,185.50 and 298,722

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Solution

The third proportional to 140,185.50 and 298,722 is: 636,548.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,185.50 : 298,722 = 298,722 : x
  2. Step 2: Convert to fraction form
    140,185.50/298,722 = 298,722/x
  3. Step 3: Cross multiply
    140,185.50x = 298,722 × 298,722
  4. Step 4: Simplify right side
    140,185.50x = 89,234,833,284
  5. Step 5: Solve for x
    x = 89,234,833,284/140,185.50
  6. Step 6: Final answer
    x = 636,548.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.