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Finding the Third Proportional to 140,098 and 300,012

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Solution

The third proportional to 140,098 and 300,012 is: 642,458.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,098 : 300,012 = 300,012 : x
  2. Step 2: Convert to fraction form
    140,098/300,012 = 300,012/x
  3. Step 3: Cross multiply
    140,098x = 300,012 × 300,012
  4. Step 4: Simplify right side
    140,098x = 90,007,200,144
  5. Step 5: Solve for x
    x = 90,007,200,144/140,098
  6. Step 6: Final answer
    x = 642,458.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.