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Finding the Third Proportional to 227,329.13 and 330,998.25

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Solution

The third proportional to 227,329.13 and 330,998.25 is: 481,943.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,329.13 : 330,998.25 = 330,998.25 : x
  2. Step 2: Convert to fraction form
    227,329.13/330,998.25 = 330,998.25/x
  3. Step 3: Cross multiply
    227,329.13x = 330,998.25 × 330,998.25
  4. Step 4: Simplify right side
    227,329.13x = 109,559,841,503.06
  5. Step 5: Solve for x
    x = 109,559,841,503.06/227,329.13
  6. Step 6: Final answer
    x = 481,943.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.