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Finding the Third Proportional to 269,435 and 404,151

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Solution

The third proportional to 269,435 and 404,151 is: 606,224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,435 : 404,151 = 404,151 : x
  2. Step 2: Convert to fraction form
    269,435/404,151 = 404,151/x
  3. Step 3: Cross multiply
    269,435x = 404,151 × 404,151
  4. Step 4: Simplify right side
    269,435x = 163,338,030,801
  5. Step 5: Solve for x
    x = 163,338,030,801/269,435
  6. Step 6: Final answer
    x = 606,224.25

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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.