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Finding the Third Proportional to 113,078 and 243,958

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Solution

The third proportional to 113,078 and 243,958 is: 526,322.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,078 : 243,958 = 243,958 : x
  2. Step 2: Convert to fraction form
    113,078/243,958 = 243,958/x
  3. Step 3: Cross multiply
    113,078x = 243,958 × 243,958
  4. Step 4: Simplify right side
    113,078x = 59,515,505,764
  5. Step 5: Solve for x
    x = 59,515,505,764/113,078
  6. Step 6: Final answer
    x = 526,322.59

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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.