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Finding the Third Proportional to 146,436 and 319,728

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Solution

The third proportional to 146,436 and 319,728 is: 698,093.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,436 : 319,728 = 319,728 : x
  2. Step 2: Convert to fraction form
    146,436/319,728 = 319,728/x
  3. Step 3: Cross multiply
    146,436x = 319,728 × 319,728
  4. Step 4: Simplify right side
    146,436x = 102,225,993,984
  5. Step 5: Solve for x
    x = 102,225,993,984/146,436
  6. Step 6: Final answer
    x = 698,093.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.