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Finding the Third Proportional to 146,094 and 219,141

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Solution

The third proportional to 146,094 and 219,141 is: 328,711.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,094 : 219,141 = 219,141 : x
  2. Step 2: Convert to fraction form
    146,094/219,141 = 219,141/x
  3. Step 3: Cross multiply
    146,094x = 219,141 × 219,141
  4. Step 4: Simplify right side
    146,094x = 48,022,777,881
  5. Step 5: Solve for x
    x = 48,022,777,881/146,094
  6. Step 6: Final answer
    x = 328,711.50

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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.