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Finding the Third Proportional to 154,939.50 and 323,794.13

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Solution

The third proportional to 154,939.50 and 323,794.13 is: 676,668.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,939.50 : 323,794.13 = 323,794.13 : x
  2. Step 2: Convert to fraction form
    154,939.50/323,794.13 = 323,794.13/x
  3. Step 3: Cross multiply
    154,939.50x = 323,794.13 × 323,794.13
  4. Step 4: Simplify right side
    154,939.50x = 104,842,635,384.52
  5. Step 5: Solve for x
    x = 104,842,635,384.52/154,939.50
  6. Step 6: Final answer
    x = 676,668.22

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.