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Finding the Third Proportional to 123,514 and 251,392

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Solution

The third proportional to 123,514 and 251,392 is: 511,666.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,514 : 251,392 = 251,392 : x
  2. Step 2: Convert to fraction form
    123,514/251,392 = 251,392/x
  3. Step 3: Cross multiply
    123,514x = 251,392 × 251,392
  4. Step 4: Simplify right side
    123,514x = 63,197,937,664
  5. Step 5: Solve for x
    x = 63,197,937,664/123,514
  6. Step 6: Final answer
    x = 511,666.19

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.