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Finding the Third Proportional to 112,814 and 267,281

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Solution

The third proportional to 112,814 and 267,281 is: 633,247.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,814 : 267,281 = 267,281 : x
  2. Step 2: Convert to fraction form
    112,814/267,281 = 267,281/x
  3. Step 3: Cross multiply
    112,814x = 267,281 × 267,281
  4. Step 4: Simplify right side
    112,814x = 71,439,132,961
  5. Step 5: Solve for x
    x = 71,439,132,961/112,814
  6. Step 6: Final answer
    x = 633,247.05

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.