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Finding the Third Proportional to 267,960 and 357,208

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Solution

The third proportional to 267,960 and 357,208 is: 476,181.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,960 : 357,208 = 357,208 : x
  2. Step 2: Convert to fraction form
    267,960/357,208 = 357,208/x
  3. Step 3: Cross multiply
    267,960x = 357,208 × 357,208
  4. Step 4: Simplify right side
    267,960x = 127,597,555,264
  5. Step 5: Solve for x
    x = 127,597,555,264/267,960
  6. Step 6: Final answer
    x = 476,181.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.