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Finding the Third Proportional to 180,956 and 266,165

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Solution

The third proportional to 180,956 and 266,165 is: 391,497.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,956 : 266,165 = 266,165 : x
  2. Step 2: Convert to fraction form
    180,956/266,165 = 266,165/x
  3. Step 3: Cross multiply
    180,956x = 266,165 × 266,165
  4. Step 4: Simplify right side
    180,956x = 70,843,807,225
  5. Step 5: Solve for x
    x = 70,843,807,225/180,956
  6. Step 6: Final answer
    x = 391,497.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.