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Finding the Third Proportional to 64,183.50 and 154,623

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Solution

The third proportional to 64,183.50 and 154,623 is: 372,498.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,183.50 : 154,623 = 154,623 : x
  2. Step 2: Convert to fraction form
    64,183.50/154,623 = 154,623/x
  3. Step 3: Cross multiply
    64,183.50x = 154,623 × 154,623
  4. Step 4: Simplify right side
    64,183.50x = 23,908,272,129
  5. Step 5: Solve for x
    x = 23,908,272,129/64,183.50
  6. Step 6: Final answer
    x = 372,498.73

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.