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Finding the Third Proportional to 176,551 and 270,125

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Solution

The third proportional to 176,551 and 270,125 is: 413,294.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,551 : 270,125 = 270,125 : x
  2. Step 2: Convert to fraction form
    176,551/270,125 = 270,125/x
  3. Step 3: Cross multiply
    176,551x = 270,125 × 270,125
  4. Step 4: Simplify right side
    176,551x = 72,967,515,625
  5. Step 5: Solve for x
    x = 72,967,515,625/176,551
  6. Step 6: Final answer
    x = 413,294.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.