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Finding the Third Proportional to 175,184 and 267,915

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Solution

The third proportional to 175,184 and 267,915 is: 409,731.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,184 : 267,915 = 267,915 : x
  2. Step 2: Convert to fraction form
    175,184/267,915 = 267,915/x
  3. Step 3: Cross multiply
    175,184x = 267,915 × 267,915
  4. Step 4: Simplify right side
    175,184x = 71,778,447,225
  5. Step 5: Solve for x
    x = 71,778,447,225/175,184
  6. Step 6: Final answer
    x = 409,731.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.