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Finding the Third Proportional to 146,150 and 219,245

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Solution

The third proportional to 146,150 and 219,245 is: 328,897.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,150 : 219,245 = 219,245 : x
  2. Step 2: Convert to fraction form
    146,150/219,245 = 219,245/x
  3. Step 3: Cross multiply
    146,150x = 219,245 × 219,245
  4. Step 4: Simplify right side
    146,150x = 48,068,370,025
  5. Step 5: Solve for x
    x = 48,068,370,025/146,150
  6. Step 6: Final answer
    x = 328,897.50

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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.