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Finding the Third Proportional to 84,273.19 and 180,540.56

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Solution

The third proportional to 84,273.19 and 180,540.56 is: 386,776.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,273.19 : 180,540.56 = 180,540.56 : x
  2. Step 2: Convert to fraction form
    84,273.19/180,540.56 = 180,540.56/x
  3. Step 3: Cross multiply
    84,273.19x = 180,540.56 × 180,540.56
  4. Step 4: Simplify right side
    84,273.19x = 32,594,894,707.82
  5. Step 5: Solve for x
    x = 32,594,894,707.82/84,273.19
  6. Step 6: Final answer
    x = 386,776.57

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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.