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Finding the Third Proportional to 164,204 and 354,604

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Solution

The third proportional to 164,204 and 354,604 is: 765,779.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,204 : 354,604 = 354,604 : x
  2. Step 2: Convert to fraction form
    164,204/354,604 = 354,604/x
  3. Step 3: Cross multiply
    164,204x = 354,604 × 354,604
  4. Step 4: Simplify right side
    164,204x = 125,743,996,816
  5. Step 5: Solve for x
    x = 125,743,996,816/164,204
  6. Step 6: Final answer
    x = 765,779.13

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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.