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Finding the Third Proportional to 185,107.50 and 393,571.13

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Solution

The third proportional to 185,107.50 and 393,571.13 is: 836,801.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,107.50 : 393,571.13 = 393,571.13 : x
  2. Step 2: Convert to fraction form
    185,107.50/393,571.13 = 393,571.13/x
  3. Step 3: Cross multiply
    185,107.50x = 393,571.13 × 393,571.13
  4. Step 4: Simplify right side
    185,107.50x = 154,898,230,433.77
  5. Step 5: Solve for x
    x = 154,898,230,433.77/185,107.50
  6. Step 6: Final answer
    x = 836,801.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.