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Finding the Third Proportional to 152,286.19 and 223,234.88

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Solution

The third proportional to 152,286.19 and 223,234.88 is: 327,237.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,286.19 : 223,234.88 = 223,234.88 : x
  2. Step 2: Convert to fraction form
    152,286.19/223,234.88 = 223,234.88/x
  3. Step 3: Cross multiply
    152,286.19x = 223,234.88 × 223,234.88
  4. Step 4: Simplify right side
    152,286.19x = 49,833,809,416.27
  5. Step 5: Solve for x
    x = 49,833,809,416.27/152,286.19
  6. Step 6: Final answer
    x = 327,237.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.