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Finding the Third Proportional to 146,135 and 220,167

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Solution

The third proportional to 146,135 and 220,167 is: 331,703.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,135 : 220,167 = 220,167 : x
  2. Step 2: Convert to fraction form
    146,135/220,167 = 220,167/x
  3. Step 3: Cross multiply
    146,135x = 220,167 × 220,167
  4. Step 4: Simplify right side
    146,135x = 48,473,507,889
  5. Step 5: Solve for x
    x = 48,473,507,889/146,135
  6. Step 6: Final answer
    x = 331,703.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.