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Finding the Third Proportional to 139,659 and 301,458

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Solution

The third proportional to 139,659 and 301,458 is: 650,705.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,659 : 301,458 = 301,458 : x
  2. Step 2: Convert to fraction form
    139,659/301,458 = 301,458/x
  3. Step 3: Cross multiply
    139,659x = 301,458 × 301,458
  4. Step 4: Simplify right side
    139,659x = 90,876,925,764
  5. Step 5: Solve for x
    x = 90,876,925,764/139,659
  6. Step 6: Final answer
    x = 650,705.83

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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.