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Finding the Third Proportional to 205,438.50 and 308,642.50

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Solution

The third proportional to 205,438.50 and 308,642.50 is: 463,692.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,438.50 : 308,642.50 = 308,642.50 : x
  2. Step 2: Convert to fraction form
    205,438.50/308,642.50 = 308,642.50/x
  3. Step 3: Cross multiply
    205,438.50x = 308,642.50 × 308,642.50
  4. Step 4: Simplify right side
    205,438.50x = 95,260,192,806.25
  5. Step 5: Solve for x
    x = 95,260,192,806.25/205,438.50
  6. Step 6: Final answer
    x = 463,692.02

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