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Finding the Third Proportional to 148,371 and 329,910

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Solution

The third proportional to 148,371 and 329,910 is: 733,570.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,371 : 329,910 = 329,910 : x
  2. Step 2: Convert to fraction form
    148,371/329,910 = 329,910/x
  3. Step 3: Cross multiply
    148,371x = 329,910 × 329,910
  4. Step 4: Simplify right side
    148,371x = 108,840,608,100
  5. Step 5: Solve for x
    x = 108,840,608,100/148,371
  6. Step 6: Final answer
    x = 733,570.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.