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Finding the Third Proportional to 219,692.25 and 329,538.38

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Solution

The third proportional to 219,692.25 and 329,538.38 is: 494,307.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,692.25 : 329,538.38 = 329,538.38 : x
  2. Step 2: Convert to fraction form
    219,692.25/329,538.38 = 329,538.38/x
  3. Step 3: Cross multiply
    219,692.25x = 329,538.38 × 329,538.38
  4. Step 4: Simplify right side
    219,692.25x = 108,595,540,597.64
  5. Step 5: Solve for x
    x = 108,595,540,597.64/219,692.25
  6. Step 6: Final answer
    x = 494,307.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.