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Finding the Third Proportional to 146,036 and 219,702

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Solution

The third proportional to 146,036 and 219,702 is: 330,527.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,036 : 219,702 = 219,702 : x
  2. Step 2: Convert to fraction form
    146,036/219,702 = 219,702/x
  3. Step 3: Cross multiply
    146,036x = 219,702 × 219,702
  4. Step 4: Simplify right side
    146,036x = 48,268,968,804
  5. Step 5: Solve for x
    x = 48,268,968,804/146,036
  6. Step 6: Final answer
    x = 330,527.88

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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.