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Finding the Third Proportional to 178,250.63 and 267,411.38

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Solution

The third proportional to 178,250.63 and 267,411.38 is: 401,170.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,250.63 : 267,411.38 = 267,411.38 : x
  2. Step 2: Convert to fraction form
    178,250.63/267,411.38 = 267,411.38/x
  3. Step 3: Cross multiply
    178,250.63x = 267,411.38 × 267,411.38
  4. Step 4: Simplify right side
    178,250.63x = 71,508,843,479.39
  5. Step 5: Solve for x
    x = 71,508,843,479.39/178,250.63
  6. Step 6: Final answer
    x = 401,170.23

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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.