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Finding the Third Proportional to 193,248 and 267,025

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Solution

The third proportional to 193,248 and 267,025 is: 368,968.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,248 : 267,025 = 267,025 : x
  2. Step 2: Convert to fraction form
    193,248/267,025 = 267,025/x
  3. Step 3: Cross multiply
    193,248x = 267,025 × 267,025
  4. Step 4: Simplify right side
    193,248x = 71,302,350,625
  5. Step 5: Solve for x
    x = 71,302,350,625/193,248
  6. Step 6: Final answer
    x = 368,968.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.