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Finding the Third Proportional to 227,133.56 and 330,841.13

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Solution

The third proportional to 227,133.56 and 330,841.13 is: 481,900.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,133.56 : 330,841.13 = 330,841.13 : x
  2. Step 2: Convert to fraction form
    227,133.56/330,841.13 = 330,841.13/x
  3. Step 3: Cross multiply
    227,133.56x = 330,841.13 × 330,841.13
  4. Step 4: Simplify right side
    227,133.56x = 109,455,849,991.27
  5. Step 5: Solve for x
    x = 109,455,849,991.27/227,133.56
  6. Step 6: Final answer
    x = 481,900.82

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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.