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Finding the Third Proportional to 180,761.63 and 389,468.25

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Solution

The third proportional to 180,761.63 and 389,468.25 is: 839,146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,761.63 : 389,468.25 = 389,468.25 : x
  2. Step 2: Convert to fraction form
    180,761.63/389,468.25 = 389,468.25/x
  3. Step 3: Cross multiply
    180,761.63x = 389,468.25 × 389,468.25
  4. Step 4: Simplify right side
    180,761.63x = 151,685,517,758.06
  5. Step 5: Solve for x
    x = 151,685,517,758.06/180,761.63
  6. Step 6: Final answer
    x = 839,146.68

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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.