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Finding the Third Proportional to 148,249.50 and 221,967

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Solution

The third proportional to 148,249.50 and 221,967 is: 332,340.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,249.50 : 221,967 = 221,967 : x
  2. Step 2: Convert to fraction form
    148,249.50/221,967 = 221,967/x
  3. Step 3: Cross multiply
    148,249.50x = 221,967 × 221,967
  4. Step 4: Simplify right side
    148,249.50x = 49,269,349,089
  5. Step 5: Solve for x
    x = 49,269,349,089/148,249.50
  6. Step 6: Final answer
    x = 332,340.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.