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Finding the Third Proportional to 148,923 and 321,169.50

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Solution

The third proportional to 148,923 and 321,169.50 is: 692,638.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,923 : 321,169.50 = 321,169.50 : x
  2. Step 2: Convert to fraction form
    148,923/321,169.50 = 321,169.50/x
  3. Step 3: Cross multiply
    148,923x = 321,169.50 × 321,169.50
  4. Step 4: Simplify right side
    148,923x = 103,149,847,730.25
  5. Step 5: Solve for x
    x = 103,149,847,730.25/148,923
  6. Step 6: Final answer
    x = 692,638.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.