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Finding the Third Proportional to 139,114 and 299,822

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Solution

The third proportional to 139,114 and 299,822 is: 646,183.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,114 : 299,822 = 299,822 : x
  2. Step 2: Convert to fraction form
    139,114/299,822 = 299,822/x
  3. Step 3: Cross multiply
    139,114x = 299,822 × 299,822
  4. Step 4: Simplify right side
    139,114x = 89,893,231,684
  5. Step 5: Solve for x
    x = 89,893,231,684/139,114
  6. Step 6: Final answer
    x = 646,183.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.