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Finding the Third Proportional to 176,418 and 266,268

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Solution

The third proportional to 176,418 and 266,268 is: 401,878.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,418 : 266,268 = 266,268 : x
  2. Step 2: Convert to fraction form
    176,418/266,268 = 266,268/x
  3. Step 3: Cross multiply
    176,418x = 266,268 × 266,268
  4. Step 4: Simplify right side
    176,418x = 70,898,647,824
  5. Step 5: Solve for x
    x = 70,898,647,824/176,418
  6. Step 6: Final answer
    x = 401,878.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.