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Finding the Third Proportional to 204,277.50 and 436,350

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Solution

The third proportional to 204,277.50 and 436,350 is: 932,071.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,277.50 : 436,350 = 436,350 : x
  2. Step 2: Convert to fraction form
    204,277.50/436,350 = 436,350/x
  3. Step 3: Cross multiply
    204,277.50x = 436,350 × 436,350
  4. Step 4: Simplify right side
    204,277.50x = 190,401,322,500
  5. Step 5: Solve for x
    x = 190,401,322,500/204,277.50
  6. Step 6: Final answer
    x = 932,071.92

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.