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Finding the Third Proportional to 148,421 and 350,006

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Solution

The third proportional to 148,421 and 350,006 is: 825,383.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,421 : 350,006 = 350,006 : x
  2. Step 2: Convert to fraction form
    148,421/350,006 = 350,006/x
  3. Step 3: Cross multiply
    148,421x = 350,006 × 350,006
  4. Step 4: Simplify right side
    148,421x = 122,504,200,036
  5. Step 5: Solve for x
    x = 122,504,200,036/148,421
  6. Step 6: Final answer
    x = 825,383.20

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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.