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Finding the Third Proportional to 176,242 and 251,241

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Solution

The third proportional to 176,242 and 251,241 is: 358,155.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,242 : 251,241 = 251,241 : x
  2. Step 2: Convert to fraction form
    176,242/251,241 = 251,241/x
  3. Step 3: Cross multiply
    176,242x = 251,241 × 251,241
  4. Step 4: Simplify right side
    176,242x = 63,122,040,081
  5. Step 5: Solve for x
    x = 63,122,040,081/176,242
  6. Step 6: Final answer
    x = 358,155.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.