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Finding the Third Proportional to 146,106 and 219,158

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Solution

The third proportional to 146,106 and 219,158 is: 328,735.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,106 : 219,158 = 219,158 : x
  2. Step 2: Convert to fraction form
    146,106/219,158 = 219,158/x
  3. Step 3: Cross multiply
    146,106x = 219,158 × 219,158
  4. Step 4: Simplify right side
    146,106x = 48,030,228,964
  5. Step 5: Solve for x
    x = 48,030,228,964/146,106
  6. Step 6: Final answer
    x = 328,735.50

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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.