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Finding the Third Proportional to 144,861.75 and 224,295.75

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Solution

The third proportional to 144,861.75 and 224,295.75 is: 347,286.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,861.75 : 224,295.75 = 224,295.75 : x
  2. Step 2: Convert to fraction form
    144,861.75/224,295.75 = 224,295.75/x
  3. Step 3: Cross multiply
    144,861.75x = 224,295.75 × 224,295.75
  4. Step 4: Simplify right side
    144,861.75x = 50,308,583,468.06
  5. Step 5: Solve for x
    x = 50,308,583,468.06/144,861.75
  6. Step 6: Final answer
    x = 347,286.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.