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Finding the Third Proportional to 226,692.75 and 364,014.56

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Solution

The third proportional to 226,692.75 and 364,014.56 is: 584,520.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,692.75 : 364,014.56 = 364,014.56 : x
  2. Step 2: Convert to fraction form
    226,692.75/364,014.56 = 364,014.56/x
  3. Step 3: Cross multiply
    226,692.75x = 364,014.56 × 364,014.56
  4. Step 4: Simplify right side
    226,692.75x = 132,506,601,712.07
  5. Step 5: Solve for x
    x = 132,506,601,712.07/226,692.75
  6. Step 6: Final answer
    x = 584,520.69

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.