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Finding the Third Proportional to 140,950 and 295,740

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Solution

The third proportional to 140,950 and 295,740 is: 620,518.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,950 : 295,740 = 295,740 : x
  2. Step 2: Convert to fraction form
    140,950/295,740 = 295,740/x
  3. Step 3: Cross multiply
    140,950x = 295,740 × 295,740
  4. Step 4: Simplify right side
    140,950x = 87,462,147,600
  5. Step 5: Solve for x
    x = 87,462,147,600/140,950
  6. Step 6: Final answer
    x = 620,518.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.