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Finding the Third Proportional to 177,588 and 268,223

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Solution

The third proportional to 177,588 and 268,223 is: 405,115.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,588 : 268,223 = 268,223 : x
  2. Step 2: Convert to fraction form
    177,588/268,223 = 268,223/x
  3. Step 3: Cross multiply
    177,588x = 268,223 × 268,223
  4. Step 4: Simplify right side
    177,588x = 71,943,577,729
  5. Step 5: Solve for x
    x = 71,943,577,729/177,588
  6. Step 6: Final answer
    x = 405,115.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.