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Finding the Third Proportional to 123,982 and 254,498

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Solution

The third proportional to 123,982 and 254,498 is: 522,408.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,982 : 254,498 = 254,498 : x
  2. Step 2: Convert to fraction form
    123,982/254,498 = 254,498/x
  3. Step 3: Cross multiply
    123,982x = 254,498 × 254,498
  4. Step 4: Simplify right side
    123,982x = 64,769,232,004
  5. Step 5: Solve for x
    x = 64,769,232,004/123,982
  6. Step 6: Final answer
    x = 522,408.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.