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Finding the Third Proportional to 165,858 and 248,958

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Solution

The third proportional to 165,858 and 248,958 is: 373,693.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,858 : 248,958 = 248,958 : x
  2. Step 2: Convert to fraction form
    165,858/248,958 = 248,958/x
  3. Step 3: Cross multiply
    165,858x = 248,958 × 248,958
  4. Step 4: Simplify right side
    165,858x = 61,980,085,764
  5. Step 5: Solve for x
    x = 61,980,085,764/165,858
  6. Step 6: Final answer
    x = 373,693.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.