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Finding the Third Proportional to 82,982.63 and 180,015.38

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Solution

The third proportional to 82,982.63 and 180,015.38 is: 390,509.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,982.63 : 180,015.38 = 180,015.38 : x
  2. Step 2: Convert to fraction form
    82,982.63/180,015.38 = 180,015.38/x
  3. Step 3: Cross multiply
    82,982.63x = 180,015.38 × 180,015.38
  4. Step 4: Simplify right side
    82,982.63x = 32,405,535,236.39
  5. Step 5: Solve for x
    x = 32,405,535,236.39/82,982.63
  6. Step 6: Final answer
    x = 390,509.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.