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Finding the Third Proportional to 180,944 and 266,010

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Solution

The third proportional to 180,944 and 266,010 is: 391,067.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,944 : 266,010 = 266,010 : x
  2. Step 2: Convert to fraction form
    180,944/266,010 = 266,010/x
  3. Step 3: Cross multiply
    180,944x = 266,010 × 266,010
  4. Step 4: Simplify right side
    180,944x = 70,761,320,100
  5. Step 5: Solve for x
    x = 70,761,320,100/180,944
  6. Step 6: Final answer
    x = 391,067.51

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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.