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Finding the Third Proportional to 193,503.50 and 293,174.50

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Solution

The third proportional to 193,503.50 and 293,174.50 is: 444,184.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,503.50 : 293,174.50 = 293,174.50 : x
  2. Step 2: Convert to fraction form
    193,503.50/293,174.50 = 293,174.50/x
  3. Step 3: Cross multiply
    193,503.50x = 293,174.50 × 293,174.50
  4. Step 4: Simplify right side
    193,503.50x = 85,951,287,450.25
  5. Step 5: Solve for x
    x = 85,951,287,450.25/193,503.50
  6. Step 6: Final answer
    x = 444,184.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.