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Finding the Third Proportional to 148,833 and 323,901

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Solution

The third proportional to 148,833 and 323,901 is: 704,896.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,833 : 323,901 = 323,901 : x
  2. Step 2: Convert to fraction form
    148,833/323,901 = 323,901/x
  3. Step 3: Cross multiply
    148,833x = 323,901 × 323,901
  4. Step 4: Simplify right side
    148,833x = 104,911,857,801
  5. Step 5: Solve for x
    x = 104,911,857,801/148,833
  6. Step 6: Final answer
    x = 704,896.48

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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.