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Finding the Third Proportional to 125,226 and 274,329

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Solution

The third proportional to 125,226 and 274,329 is: 600,964.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,226 : 274,329 = 274,329 : x
  2. Step 2: Convert to fraction form
    125,226/274,329 = 274,329/x
  3. Step 3: Cross multiply
    125,226x = 274,329 × 274,329
  4. Step 4: Simplify right side
    125,226x = 75,256,400,241
  5. Step 5: Solve for x
    x = 75,256,400,241/125,226
  6. Step 6: Final answer
    x = 600,964.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.