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Finding the Third Proportional to 174,816 and 267,312

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Solution

The third proportional to 174,816 and 267,312 is: 408,748.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,816 : 267,312 = 267,312 : x
  2. Step 2: Convert to fraction form
    174,816/267,312 = 267,312/x
  3. Step 3: Cross multiply
    174,816x = 267,312 × 267,312
  4. Step 4: Simplify right side
    174,816x = 71,455,705,344
  5. Step 5: Solve for x
    x = 71,455,705,344/174,816
  6. Step 6: Final answer
    x = 408,748.09

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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.