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Finding the Third Proportional to 165,936 and 356,484

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Solution

The third proportional to 165,936 and 356,484 is: 765,842.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,936 : 356,484 = 356,484 : x
  2. Step 2: Convert to fraction form
    165,936/356,484 = 356,484/x
  3. Step 3: Cross multiply
    165,936x = 356,484 × 356,484
  4. Step 4: Simplify right side
    165,936x = 127,080,842,256
  5. Step 5: Solve for x
    x = 127,080,842,256/165,936
  6. Step 6: Final answer
    x = 765,842.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.