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Finding the Third Proportional to 84,247.25 and 180,340.63

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Solution

The third proportional to 84,247.25 and 180,340.63 is: 386,039.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,247.25 : 180,340.63 = 180,340.63 : x
  2. Step 2: Convert to fraction form
    84,247.25/180,340.63 = 180,340.63/x
  3. Step 3: Cross multiply
    84,247.25x = 180,340.63 × 180,340.63
  4. Step 4: Simplify right side
    84,247.25x = 32,522,741,025.39
  5. Step 5: Solve for x
    x = 32,522,741,025.39/84,247.25
  6. Step 6: Final answer
    x = 386,039.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.