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Finding the Third Proportional to 125,498 and 269,194

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Solution

The third proportional to 125,498 and 269,194 is: 577,422.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,498 : 269,194 = 269,194 : x
  2. Step 2: Convert to fraction form
    125,498/269,194 = 269,194/x
  3. Step 3: Cross multiply
    125,498x = 269,194 × 269,194
  4. Step 4: Simplify right side
    125,498x = 72,465,409,636
  5. Step 5: Solve for x
    x = 72,465,409,636/125,498
  6. Step 6: Final answer
    x = 577,422.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.