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Finding the Third Proportional to 165,808 and 355,256

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Solution

The third proportional to 165,808 and 355,256 is: 761,162.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,808 : 355,256 = 355,256 : x
  2. Step 2: Convert to fraction form
    165,808/355,256 = 355,256/x
  3. Step 3: Cross multiply
    165,808x = 355,256 × 355,256
  4. Step 4: Simplify right side
    165,808x = 126,206,825,536
  5. Step 5: Solve for x
    x = 126,206,825,536/165,808
  6. Step 6: Final answer
    x = 761,162.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.