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Finding the Third Proportional to 144,355.50 and 347,766.75

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Solution

The third proportional to 144,355.50 and 347,766.75 is: 837,804.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,355.50 : 347,766.75 = 347,766.75 : x
  2. Step 2: Convert to fraction form
    144,355.50/347,766.75 = 347,766.75/x
  3. Step 3: Cross multiply
    144,355.50x = 347,766.75 × 347,766.75
  4. Step 4: Simplify right side
    144,355.50x = 120,941,712,405.56
  5. Step 5: Solve for x
    x = 120,941,712,405.56/144,355.50
  6. Step 6: Final answer
    x = 837,804.67

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.