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Finding the Third Proportional to 164,206.38 and 353,735.38

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Solution

The third proportional to 164,206.38 and 353,735.38 is: 762,021.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,206.38 : 353,735.38 = 353,735.38 : x
  2. Step 2: Convert to fraction form
    164,206.38/353,735.38 = 353,735.38/x
  3. Step 3: Cross multiply
    164,206.38x = 353,735.38 × 353,735.38
  4. Step 4: Simplify right side
    164,206.38x = 125,128,715,526.39
  5. Step 5: Solve for x
    x = 125,128,715,526.39/164,206.38
  6. Step 6: Final answer
    x = 762,021.06

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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.