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Finding the Third Proportional to 180,961 and 266,173

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Solution

The third proportional to 180,961 and 266,173 is: 391,510.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,961 : 266,173 = 266,173 : x
  2. Step 2: Convert to fraction form
    180,961/266,173 = 266,173/x
  3. Step 3: Cross multiply
    180,961x = 266,173 × 266,173
  4. Step 4: Simplify right side
    180,961x = 70,848,065,929
  5. Step 5: Solve for x
    x = 70,848,065,929/180,961
  6. Step 6: Final answer
    x = 391,510.14

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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.