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Finding the Third Proportional to 219,169.13 and 327,871.13

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Solution

The third proportional to 219,169.13 and 327,871.13 is: 490,486.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,169.13 : 327,871.13 = 327,871.13 : x
  2. Step 2: Convert to fraction form
    219,169.13/327,871.13 = 327,871.13/x
  3. Step 3: Cross multiply
    219,169.13x = 327,871.13 × 327,871.13
  4. Step 4: Simplify right side
    219,169.13x = 107,499,474,608.77
  5. Step 5: Solve for x
    x = 107,499,474,608.77/219,169.13
  6. Step 6: Final answer
    x = 490,486.40

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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.