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Finding the Third Proportional to 139,039.50 and 324,057

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Solution

The third proportional to 139,039.50 and 324,057 is: 755,274.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,039.50 : 324,057 = 324,057 : x
  2. Step 2: Convert to fraction form
    139,039.50/324,057 = 324,057/x
  3. Step 3: Cross multiply
    139,039.50x = 324,057 × 324,057
  4. Step 4: Simplify right side
    139,039.50x = 105,012,939,249
  5. Step 5: Solve for x
    x = 105,012,939,249/139,039.50
  6. Step 6: Final answer
    x = 755,274.14

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.