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Finding the Third Proportional to 123,367 and 264,217

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Solution

The third proportional to 123,367 and 264,217 is: 565,877.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,367 : 264,217 = 264,217 : x
  2. Step 2: Convert to fraction form
    123,367/264,217 = 264,217/x
  3. Step 3: Cross multiply
    123,367x = 264,217 × 264,217
  4. Step 4: Simplify right side
    123,367x = 69,810,623,089
  5. Step 5: Solve for x
    x = 69,810,623,089/123,367
  6. Step 6: Final answer
    x = 565,877.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.