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Finding the Third Proportional to 148,357 and 321,337

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Solution

The third proportional to 148,357 and 321,337 is: 696,006.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,357 : 321,337 = 321,337 : x
  2. Step 2: Convert to fraction form
    148,357/321,337 = 321,337/x
  3. Step 3: Cross multiply
    148,357x = 321,337 × 321,337
  4. Step 4: Simplify right side
    148,357x = 103,257,467,569
  5. Step 5: Solve for x
    x = 103,257,467,569/148,357
  6. Step 6: Final answer
    x = 696,006.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.