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Finding the Third Proportional to 140,950.75 and 295,740.50

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Solution

The third proportional to 140,950.75 and 295,740.50 is: 620,517.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,950.75 : 295,740.50 = 295,740.50 : x
  2. Step 2: Convert to fraction form
    140,950.75/295,740.50 = 295,740.50/x
  3. Step 3: Cross multiply
    140,950.75x = 295,740.50 × 295,740.50
  4. Step 4: Simplify right side
    140,950.75x = 87,462,443,340.25
  5. Step 5: Solve for x
    x = 87,462,443,340.25/140,950.75
  6. Step 6: Final answer
    x = 620,517.76

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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.