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Finding the Third Proportional to 154,065 and 323,034

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Solution

The third proportional to 154,065 and 323,034 is: 677,317.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,065 : 323,034 = 323,034 : x
  2. Step 2: Convert to fraction form
    154,065/323,034 = 323,034/x
  3. Step 3: Cross multiply
    154,065x = 323,034 × 323,034
  4. Step 4: Simplify right side
    154,065x = 104,350,965,156
  5. Step 5: Solve for x
    x = 104,350,965,156/154,065
  6. Step 6: Final answer
    x = 677,317.79

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.