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Finding the Third Proportional to 180,735.05 and 278,022.38

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Solution

The third proportional to 180,735.05 and 278,022.38 is: 427,678.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,735.05 : 278,022.38 = 278,022.38 : x
  2. Step 2: Convert to fraction form
    180,735.05/278,022.38 = 278,022.38/x
  3. Step 3: Cross multiply
    180,735.05x = 278,022.38 × 278,022.38
  4. Step 4: Simplify right side
    180,735.05x = 77,296,441,000.64
  5. Step 5: Solve for x
    x = 77,296,441,000.64/180,735.05
  6. Step 6: Final answer
    x = 427,678.21

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.