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Finding the Third Proportional to 148,422.75 and 350,023.50

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Solution

The third proportional to 148,422.75 and 350,023.50 is: 825,456.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,422.75 : 350,023.50 = 350,023.50 : x
  2. Step 2: Convert to fraction form
    148,422.75/350,023.50 = 350,023.50/x
  3. Step 3: Cross multiply
    148,422.75x = 350,023.50 × 350,023.50
  4. Step 4: Simplify right side
    148,422.75x = 122,516,450,552.25
  5. Step 5: Solve for x
    x = 122,516,450,552.25/148,422.75
  6. Step 6: Final answer
    x = 825,456.01

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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.