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Finding the Third Proportional to 165,485 and 233,967

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Solution

The third proportional to 165,485 and 233,967 is: 330,788.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,485 : 233,967 = 233,967 : x
  2. Step 2: Convert to fraction form
    165,485/233,967 = 233,967/x
  3. Step 3: Cross multiply
    165,485x = 233,967 × 233,967
  4. Step 4: Simplify right side
    165,485x = 54,740,557,089
  5. Step 5: Solve for x
    x = 54,740,557,089/165,485
  6. Step 6: Final answer
    x = 330,788.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.