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Finding the Third Proportional to 227,117.67 and 330,106.01

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Solution

The third proportional to 227,117.67 and 330,106.01 is: 479,795.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,117.67 : 330,106.01 = 330,106.01 : x
  2. Step 2: Convert to fraction form
    227,117.67/330,106.01 = 330,106.01/x
  3. Step 3: Cross multiply
    227,117.67x = 330,106.01 × 330,106.01
  4. Step 4: Simplify right side
    227,117.67x = 108,969,976,393.91
  5. Step 5: Solve for x
    x = 108,969,976,393.91/227,117.67
  6. Step 6: Final answer
    x = 479,795.23

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.