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Finding the Third Proportional to 161,806 and 352,020

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Solution

The third proportional to 161,806 and 352,020 is: 765,843.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,806 : 352,020 = 352,020 : x
  2. Step 2: Convert to fraction form
    161,806/352,020 = 352,020/x
  3. Step 3: Cross multiply
    161,806x = 352,020 × 352,020
  4. Step 4: Simplify right side
    161,806x = 123,918,080,400
  5. Step 5: Solve for x
    x = 123,918,080,400/161,806
  6. Step 6: Final answer
    x = 765,843.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.