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Finding the Third Proportional to 176,184 and 270,144

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Solution

The third proportional to 176,184 and 270,144 is: 414,213.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,184 : 270,144 = 270,144 : x
  2. Step 2: Convert to fraction form
    176,184/270,144 = 270,144/x
  3. Step 3: Cross multiply
    176,184x = 270,144 × 270,144
  4. Step 4: Simplify right side
    176,184x = 72,977,780,736
  5. Step 5: Solve for x
    x = 72,977,780,736/176,184
  6. Step 6: Final answer
    x = 414,213.44

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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.