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Finding the Third Proportional to 125,226 and 270,179

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Solution

The third proportional to 125,226 and 270,179 is: 582,919.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,226 : 270,179 = 270,179 : x
  2. Step 2: Convert to fraction form
    125,226/270,179 = 270,179/x
  3. Step 3: Cross multiply
    125,226x = 270,179 × 270,179
  4. Step 4: Simplify right side
    125,226x = 72,996,692,041
  5. Step 5: Solve for x
    x = 72,996,692,041/125,226
  6. Step 6: Final answer
    x = 582,919.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.