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Finding the Third Proportional to 178,598.25 and 267,873.75

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Solution

The third proportional to 178,598.25 and 267,873.75 is: 401,775.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,598.25 : 267,873.75 = 267,873.75 : x
  2. Step 2: Convert to fraction form
    178,598.25/267,873.75 = 267,873.75/x
  3. Step 3: Cross multiply
    178,598.25x = 267,873.75 × 267,873.75
  4. Step 4: Simplify right side
    178,598.25x = 71,756,345,939.06
  5. Step 5: Solve for x
    x = 71,756,345,939.06/178,598.25
  6. Step 6: Final answer
    x = 401,775.19

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Why These Related Problems?

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