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Finding the Third Proportional to 123,374 and 264,268

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Solution

The third proportional to 123,374 and 264,268 is: 566,063.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,374 : 264,268 = 264,268 : x
  2. Step 2: Convert to fraction form
    123,374/264,268 = 264,268/x
  3. Step 3: Cross multiply
    123,374x = 264,268 × 264,268
  4. Step 4: Simplify right side
    123,374x = 69,837,575,824
  5. Step 5: Solve for x
    x = 69,837,575,824/123,374
  6. Step 6: Final answer
    x = 566,063.97

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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.