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Finding the Third Proportional to 148,122 and 325,890

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Solution

The third proportional to 148,122 and 325,890 is: 717,005.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,122 : 325,890 = 325,890 : x
  2. Step 2: Convert to fraction form
    148,122/325,890 = 325,890/x
  3. Step 3: Cross multiply
    148,122x = 325,890 × 325,890
  4. Step 4: Simplify right side
    148,122x = 106,204,292,100
  5. Step 5: Solve for x
    x = 106,204,292,100/148,122
  6. Step 6: Final answer
    x = 717,005.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.