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Finding the Third Proportional to 188,355.38 and 389,969.44

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Solution

The third proportional to 188,355.38 and 389,969.44 is: 807,389.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,355.38 : 389,969.44 = 389,969.44 : x
  2. Step 2: Convert to fraction form
    188,355.38/389,969.44 = 389,969.44/x
  3. Step 3: Cross multiply
    188,355.38x = 389,969.44 × 389,969.44
  4. Step 4: Simplify right side
    188,355.38x = 152,076,162,184.07
  5. Step 5: Solve for x
    x = 152,076,162,184.07/188,355.38
  6. Step 6: Final answer
    x = 807,389.55

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.