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Finding the Third Proportional to 183,472.50 and 394,071.50

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Solution

The third proportional to 183,472.50 and 394,071.50 is: 846,406.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,472.50 : 394,071.50 = 394,071.50 : x
  2. Step 2: Convert to fraction form
    183,472.50/394,071.50 = 394,071.50/x
  3. Step 3: Cross multiply
    183,472.50x = 394,071.50 × 394,071.50
  4. Step 4: Simplify right side
    183,472.50x = 155,292,347,112.25
  5. Step 5: Solve for x
    x = 155,292,347,112.25/183,472.50
  6. Step 6: Final answer
    x = 846,406.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.