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Finding the Third Proportional to 82,764.28 and 180,564.19

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Solution

The third proportional to 82,764.28 and 180,564.19 is: 393,931.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,764.28 : 180,564.19 = 180,564.19 : x
  2. Step 2: Convert to fraction form
    82,764.28/180,564.19 = 180,564.19/x
  3. Step 3: Cross multiply
    82,764.28x = 180,564.19 × 180,564.19
  4. Step 4: Simplify right side
    82,764.28x = 32,603,425,807.54
  5. Step 5: Solve for x
    x = 32,603,425,807.54/82,764.28
  6. Step 6: Final answer
    x = 393,931.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.