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Finding the Third Proportional to 148,608 and 261,984

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Solution

The third proportional to 148,608 and 261,984 is: 461,856.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,608 : 261,984 = 261,984 : x
  2. Step 2: Convert to fraction form
    148,608/261,984 = 261,984/x
  3. Step 3: Cross multiply
    148,608x = 261,984 × 261,984
  4. Step 4: Simplify right side
    148,608x = 68,635,616,256
  5. Step 5: Solve for x
    x = 68,635,616,256/148,608
  6. Step 6: Final answer
    x = 461,856.81

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.