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Finding the Third Proportional to 180,199.69 and 244,351.69

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Solution

The third proportional to 180,199.69 and 244,351.69 is: 331,342.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,199.69 : 244,351.69 = 244,351.69 : x
  2. Step 2: Convert to fraction form
    180,199.69/244,351.69 = 244,351.69/x
  3. Step 3: Cross multiply
    180,199.69x = 244,351.69 × 244,351.69
  4. Step 4: Simplify right side
    180,199.69x = 59,707,747,184.10
  5. Step 5: Solve for x
    x = 59,707,747,184.10/180,199.69
  6. Step 6: Final answer
    x = 331,342.12

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.