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Finding the Third Proportional to 146,189.06 and 218,688.56

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Solution

The third proportional to 146,189.06 and 218,688.56 is: 327,142.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,189.06 : 218,688.56 = 218,688.56 : x
  2. Step 2: Convert to fraction form
    146,189.06/218,688.56 = 218,688.56/x
  3. Step 3: Cross multiply
    146,189.06x = 218,688.56 × 218,688.56
  4. Step 4: Simplify right side
    146,189.06x = 47,824,687,368.32
  5. Step 5: Solve for x
    x = 47,824,687,368.32/146,189.06
  6. Step 6: Final answer
    x = 327,142.72

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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.