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Finding the Third Proportional to 165,056 and 246,967

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Solution

The third proportional to 165,056 and 246,967 is: 369,527.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,056 : 246,967 = 246,967 : x
  2. Step 2: Convert to fraction form
    165,056/246,967 = 246,967/x
  3. Step 3: Cross multiply
    165,056x = 246,967 × 246,967
  4. Step 4: Simplify right side
    165,056x = 60,992,699,089
  5. Step 5: Solve for x
    x = 60,992,699,089/165,056
  6. Step 6: Final answer
    x = 369,527.31

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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.