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Finding the Third Proportional to 164,841 and 355,278

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Solution

The third proportional to 164,841 and 355,278 is: 765,722.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,841 : 355,278 = 355,278 : x
  2. Step 2: Convert to fraction form
    164,841/355,278 = 355,278/x
  3. Step 3: Cross multiply
    164,841x = 355,278 × 355,278
  4. Step 4: Simplify right side
    164,841x = 126,222,457,284
  5. Step 5: Solve for x
    x = 126,222,457,284/164,841
  6. Step 6: Final answer
    x = 765,722.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.