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Finding the Third Proportional to 154,926.74 and 323,769.97

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Solution

The third proportional to 154,926.74 and 323,769.97 is: 676,623.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,926.74 : 323,769.97 = 323,769.97 : x
  2. Step 2: Convert to fraction form
    154,926.74/323,769.97 = 323,769.97/x
  3. Step 3: Cross multiply
    154,926.74x = 323,769.97 × 323,769.97
  4. Step 4: Simplify right side
    154,926.74x = 104,826,995,193.83
  5. Step 5: Solve for x
    x = 104,826,995,193.83/154,926.74
  6. Step 6: Final answer
    x = 676,623.00

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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.