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Finding the Third Proportional to 269,451 and 404,196.75

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Solution

The third proportional to 269,451 and 404,196.75 is: 606,325.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,451 : 404,196.75 = 404,196.75 : x
  2. Step 2: Convert to fraction form
    269,451/404,196.75 = 404,196.75/x
  3. Step 3: Cross multiply
    269,451x = 404,196.75 × 404,196.75
  4. Step 4: Simplify right side
    269,451x = 163,375,012,710.56
  5. Step 5: Solve for x
    x = 163,375,012,710.56/269,451
  6. Step 6: Final answer
    x = 606,325.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.