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Finding the Third Proportional to 205,190.25 and 306,961.50

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Solution

The third proportional to 205,190.25 and 306,961.50 is: 459,209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,190.25 : 306,961.50 = 306,961.50 : x
  2. Step 2: Convert to fraction form
    205,190.25/306,961.50 = 306,961.50/x
  3. Step 3: Cross multiply
    205,190.25x = 306,961.50 × 306,961.50
  4. Step 4: Simplify right side
    205,190.25x = 94,225,362,482.25
  5. Step 5: Solve for x
    x = 94,225,362,482.25/205,190.25
  6. Step 6: Final answer
    x = 459,209.75

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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.