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Finding the Third Proportional to 179,143.50 and 270,732

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Solution

The third proportional to 179,143.50 and 270,732 is: 409,145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,143.50 : 270,732 = 270,732 : x
  2. Step 2: Convert to fraction form
    179,143.50/270,732 = 270,732/x
  3. Step 3: Cross multiply
    179,143.50x = 270,732 × 270,732
  4. Step 4: Simplify right side
    179,143.50x = 73,295,815,824
  5. Step 5: Solve for x
    x = 73,295,815,824/179,143.50
  6. Step 6: Final answer
    x = 409,145.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.