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Finding the Third Proportional to 84,631.50 and 180,927

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Solution

The third proportional to 84,631.50 and 180,927 is: 386,789.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,631.50 : 180,927 = 180,927 : x
  2. Step 2: Convert to fraction form
    84,631.50/180,927 = 180,927/x
  3. Step 3: Cross multiply
    84,631.50x = 180,927 × 180,927
  4. Step 4: Simplify right side
    84,631.50x = 32,734,579,329
  5. Step 5: Solve for x
    x = 32,734,579,329/84,631.50
  6. Step 6: Final answer
    x = 386,789.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.