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Finding the Third Proportional to 182,794.50 and 423,137.25

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Solution

The third proportional to 182,794.50 and 423,137.25 is: 979,488.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,794.50 : 423,137.25 = 423,137.25 : x
  2. Step 2: Convert to fraction form
    182,794.50/423,137.25 = 423,137.25/x
  3. Step 3: Cross multiply
    182,794.50x = 423,137.25 × 423,137.25
  4. Step 4: Simplify right side
    182,794.50x = 179,045,132,337.56
  5. Step 5: Solve for x
    x = 179,045,132,337.56/182,794.50
  6. Step 6: Final answer
    x = 979,488.62

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.