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Finding the Third Proportional to 178,182 and 266,400

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Solution

The third proportional to 178,182 and 266,400 is: 398,294.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,182 : 266,400 = 266,400 : x
  2. Step 2: Convert to fraction form
    178,182/266,400 = 266,400/x
  3. Step 3: Cross multiply
    178,182x = 266,400 × 266,400
  4. Step 4: Simplify right side
    178,182x = 70,968,960,000
  5. Step 5: Solve for x
    x = 70,968,960,000/178,182
  6. Step 6: Final answer
    x = 398,294.78

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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.