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Finding the Third Proportional to 219,837.38 and 330,301.13

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Solution

The third proportional to 219,837.38 and 330,301.13 is: 496,270.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,837.38 : 330,301.13 = 330,301.13 : x
  2. Step 2: Convert to fraction form
    219,837.38/330,301.13 = 330,301.13/x
  3. Step 3: Cross multiply
    219,837.38x = 330,301.13 × 330,301.13
  4. Step 4: Simplify right side
    219,837.38x = 109,098,833,176.27
  5. Step 5: Solve for x
    x = 109,098,833,176.27/219,837.38
  6. Step 6: Final answer
    x = 496,270.63

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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.