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Finding the Third Proportional to 148,274 and 308,836

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Solution

The third proportional to 148,274 and 308,836 is: 643,266.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,274 : 308,836 = 308,836 : x
  2. Step 2: Convert to fraction form
    148,274/308,836 = 308,836/x
  3. Step 3: Cross multiply
    148,274x = 308,836 × 308,836
  4. Step 4: Simplify right side
    148,274x = 95,379,674,896
  5. Step 5: Solve for x
    x = 95,379,674,896/148,274
  6. Step 6: Final answer
    x = 643,266.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.