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Finding the Third Proportional to 148,458 and 304,204

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Solution

The third proportional to 148,458 and 304,204 is: 623,341.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,458 : 304,204 = 304,204 : x
  2. Step 2: Convert to fraction form
    148,458/304,204 = 304,204/x
  3. Step 3: Cross multiply
    148,458x = 304,204 × 304,204
  4. Step 4: Simplify right side
    148,458x = 92,540,073,616
  5. Step 5: Solve for x
    x = 92,540,073,616/148,458
  6. Step 6: Final answer
    x = 623,341.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.