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Finding the Third Proportional to 146,385.38 and 218,359.88

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Solution

The third proportional to 146,385.38 and 218,359.88 is: 325,722.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,385.38 : 218,359.88 = 218,359.88 : x
  2. Step 2: Convert to fraction form
    146,385.38/218,359.88 = 218,359.88/x
  3. Step 3: Cross multiply
    146,385.38x = 218,359.88 × 218,359.88
  4. Step 4: Simplify right side
    146,385.38x = 47,681,035,010.02
  5. Step 5: Solve for x
    x = 47,681,035,010.02/146,385.38
  6. Step 6: Final answer
    x = 325,722.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.