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Finding the Third Proportional to 170,216.63 and 256,059.75

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Solution

The third proportional to 170,216.63 and 256,059.75 is: 385,195.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,216.63 : 256,059.75 = 256,059.75 : x
  2. Step 2: Convert to fraction form
    170,216.63/256,059.75 = 256,059.75/x
  3. Step 3: Cross multiply
    170,216.63x = 256,059.75 × 256,059.75
  4. Step 4: Simplify right side
    170,216.63x = 65,566,595,570.06
  5. Step 5: Solve for x
    x = 65,566,595,570.06/170,216.63
  6. Step 6: Final answer
    x = 385,195.02

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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.