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Finding the Third Proportional to 185,692.50 and 393,619.50

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Solution

The third proportional to 185,692.50 and 393,619.50 is: 834,370.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,692.50 : 393,619.50 = 393,619.50 : x
  2. Step 2: Convert to fraction form
    185,692.50/393,619.50 = 393,619.50/x
  3. Step 3: Cross multiply
    185,692.50x = 393,619.50 × 393,619.50
  4. Step 4: Simplify right side
    185,692.50x = 154,936,310,780.25
  5. Step 5: Solve for x
    x = 154,936,310,780.25/185,692.50
  6. Step 6: Final answer
    x = 834,370.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.