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Finding the Third Proportional to 267,952 and 357,196

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Solution

The third proportional to 267,952 and 357,196 is: 476,163.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,952 : 357,196 = 357,196 : x
  2. Step 2: Convert to fraction form
    267,952/357,196 = 357,196/x
  3. Step 3: Cross multiply
    267,952x = 357,196 × 357,196
  4. Step 4: Simplify right side
    267,952x = 127,588,982,416
  5. Step 5: Solve for x
    x = 127,588,982,416/267,952
  6. Step 6: Final answer
    x = 476,163.58

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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.