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Finding the Third Proportional to 82,452.94 and 180,686.81

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Solution

The third proportional to 82,452.94 and 180,686.81 is: 395,955.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,452.94 : 180,686.81 = 180,686.81 : x
  2. Step 2: Convert to fraction form
    82,452.94/180,686.81 = 180,686.81/x
  3. Step 3: Cross multiply
    82,452.94x = 180,686.81 × 180,686.81
  4. Step 4: Simplify right side
    82,452.94x = 32,647,724,211.41
  5. Step 5: Solve for x
    x = 32,647,724,211.41/82,452.94
  6. Step 6: Final answer
    x = 395,955.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.