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Finding the Third Proportional to 83,242.50 and 181,692.75

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Solution

The third proportional to 83,242.50 and 181,692.75 is: 396,579.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,242.50 : 181,692.75 = 181,692.75 : x
  2. Step 2: Convert to fraction form
    83,242.50/181,692.75 = 181,692.75/x
  3. Step 3: Cross multiply
    83,242.50x = 181,692.75 × 181,692.75
  4. Step 4: Simplify right side
    83,242.50x = 33,012,255,402.56
  5. Step 5: Solve for x
    x = 33,012,255,402.56/83,242.50
  6. Step 6: Final answer
    x = 396,579.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.