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Finding the Third Proportional to 227,121.75 and 330,823.69

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Solution

The third proportional to 227,121.75 and 330,823.69 is: 481,875.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,121.75 : 330,823.69 = 330,823.69 : x
  2. Step 2: Convert to fraction form
    227,121.75/330,823.69 = 330,823.69/x
  3. Step 3: Cross multiply
    227,121.75x = 330,823.69 × 330,823.69
  4. Step 4: Simplify right side
    227,121.75x = 109,444,312,211.10
  5. Step 5: Solve for x
    x = 109,444,312,211.10/227,121.75
  6. Step 6: Final answer
    x = 481,875.08

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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.