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Finding the Third Proportional to 180,961 and 266,172

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Solution

The third proportional to 180,961 and 266,172 is: 391,507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,961 : 266,172 = 266,172 : x
  2. Step 2: Convert to fraction form
    180,961/266,172 = 266,172/x
  3. Step 3: Cross multiply
    180,961x = 266,172 × 266,172
  4. Step 4: Simplify right side
    180,961x = 70,847,533,584
  5. Step 5: Solve for x
    x = 70,847,533,584/180,961
  6. Step 6: Final answer
    x = 391,507.20

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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.