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Finding the Third Proportional to 148,351.50 and 172,408.50

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Solution

The third proportional to 148,351.50 and 172,408.50 is: 200,366.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,351.50 : 172,408.50 = 172,408.50 : x
  2. Step 2: Convert to fraction form
    148,351.50/172,408.50 = 172,408.50/x
  3. Step 3: Cross multiply
    148,351.50x = 172,408.50 × 172,408.50
  4. Step 4: Simplify right side
    148,351.50x = 29,724,690,872.25
  5. Step 5: Solve for x
    x = 29,724,690,872.25/148,351.50
  6. Step 6: Final answer
    x = 200,366.64

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.