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Finding the Third Proportional to 220,716.75 and 341,692.88

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Solution

The third proportional to 220,716.75 and 341,692.88 is: 528,976.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,716.75 : 341,692.88 = 341,692.88 : x
  2. Step 2: Convert to fraction form
    220,716.75/341,692.88 = 341,692.88/x
  3. Step 3: Cross multiply
    220,716.75x = 341,692.88 × 341,692.88
  4. Step 4: Simplify right side
    220,716.75x = 116,754,020,825.77
  5. Step 5: Solve for x
    x = 116,754,020,825.77/220,716.75
  6. Step 6: Final answer
    x = 528,976.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.