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Finding the Third Proportional to 139,395.62 and 299,025.26

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Solution

The third proportional to 139,395.62 and 299,025.26 is: 641,455.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,395.62 : 299,025.26 = 299,025.26 : x
  2. Step 2: Convert to fraction form
    139,395.62/299,025.26 = 299,025.26/x
  3. Step 3: Cross multiply
    139,395.62x = 299,025.26 × 299,025.26
  4. Step 4: Simplify right side
    139,395.62x = 89,416,108,314.04
  5. Step 5: Solve for x
    x = 89,416,108,314.04/139,395.62
  6. Step 6: Final answer
    x = 641,455.65

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.