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Finding the Third Proportional to 154,846.69 and 239,329.69

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Solution

The third proportional to 154,846.69 and 239,329.69 is: 369,905.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,846.69 : 239,329.69 = 239,329.69 : x
  2. Step 2: Convert to fraction form
    154,846.69/239,329.69 = 239,329.69/x
  3. Step 3: Cross multiply
    154,846.69x = 239,329.69 × 239,329.69
  4. Step 4: Simplify right side
    154,846.69x = 57,278,699,318.85
  5. Step 5: Solve for x
    x = 57,278,699,318.85/154,846.69
  6. Step 6: Final answer
    x = 369,905.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.