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Finding the Third Proportional to 137,923.50 and 295,529

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Solution

The third proportional to 137,923.50 and 295,529 is: 633,230.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,923.50 : 295,529 = 295,529 : x
  2. Step 2: Convert to fraction form
    137,923.50/295,529 = 295,529/x
  3. Step 3: Cross multiply
    137,923.50x = 295,529 × 295,529
  4. Step 4: Simplify right side
    137,923.50x = 87,337,389,841
  5. Step 5: Solve for x
    x = 87,337,389,841/137,923.50
  6. Step 6: Final answer
    x = 633,230.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.