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Finding the Third Proportional to 148,420.69 and 350,004.38

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Solution

The third proportional to 148,420.69 and 350,004.38 is: 825,377.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,420.69 : 350,004.38 = 350,004.38 : x
  2. Step 2: Convert to fraction form
    148,420.69/350,004.38 = 350,004.38/x
  3. Step 3: Cross multiply
    148,420.69x = 350,004.38 × 350,004.38
  4. Step 4: Simplify right side
    148,420.69x = 122,503,062,519.14
  5. Step 5: Solve for x
    x = 122,503,062,519.14/148,420.69
  6. Step 6: Final answer
    x = 825,377.27

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.