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Finding the Third Proportional to 146,049.75 and 221,818.50

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Solution

The third proportional to 146,049.75 and 221,818.50 is: 336,895.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,049.75 : 221,818.50 = 221,818.50 : x
  2. Step 2: Convert to fraction form
    146,049.75/221,818.50 = 221,818.50/x
  3. Step 3: Cross multiply
    146,049.75x = 221,818.50 × 221,818.50
  4. Step 4: Simplify right side
    146,049.75x = 49,203,446,942.25
  5. Step 5: Solve for x
    x = 49,203,446,942.25/146,049.75
  6. Step 6: Final answer
    x = 336,895.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.