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Finding the Third Proportional to 148,485 and 323,769

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Solution

The third proportional to 148,485 and 323,769 is: 705,972.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,485 : 323,769 = 323,769 : x
  2. Step 2: Convert to fraction form
    148,485/323,769 = 323,769/x
  3. Step 3: Cross multiply
    148,485x = 323,769 × 323,769
  4. Step 4: Simplify right side
    148,485x = 104,826,365,361
  5. Step 5: Solve for x
    x = 104,826,365,361/148,485
  6. Step 6: Final answer
    x = 705,972.76

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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.