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Finding the Third Proportional to 148,942 and 324,094

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Solution

The third proportional to 148,942 and 324,094 is: 705,220.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,942 : 324,094 = 324,094 : x
  2. Step 2: Convert to fraction form
    148,942/324,094 = 324,094/x
  3. Step 3: Cross multiply
    148,942x = 324,094 × 324,094
  4. Step 4: Simplify right side
    148,942x = 105,036,920,836
  5. Step 5: Solve for x
    x = 105,036,920,836/148,942
  6. Step 6: Final answer
    x = 705,220.29

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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.