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Finding the Third Proportional to 174,746 and 267,213

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Solution

The third proportional to 174,746 and 267,213 is: 408,608.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,746 : 267,213 = 267,213 : x
  2. Step 2: Convert to fraction form
    174,746/267,213 = 267,213/x
  3. Step 3: Cross multiply
    174,746x = 267,213 × 267,213
  4. Step 4: Simplify right side
    174,746x = 71,402,787,369
  5. Step 5: Solve for x
    x = 71,402,787,369/174,746
  6. Step 6: Final answer
    x = 408,608.99

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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.