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Finding the Third Proportional to 146,501 and 220,141

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Solution

The third proportional to 146,501 and 220,141 is: 330,796.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,501 : 220,141 = 220,141 : x
  2. Step 2: Convert to fraction form
    146,501/220,141 = 220,141/x
  3. Step 3: Cross multiply
    146,501x = 220,141 × 220,141
  4. Step 4: Simplify right side
    146,501x = 48,462,059,881
  5. Step 5: Solve for x
    x = 48,462,059,881/146,501
  6. Step 6: Final answer
    x = 330,796.79

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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.