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Finding the Third Proportional to 176,161 and 251,011

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Solution

The third proportional to 176,161 and 251,011 is: 357,664.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,161 : 251,011 = 251,011 : x
  2. Step 2: Convert to fraction form
    176,161/251,011 = 251,011/x
  3. Step 3: Cross multiply
    176,161x = 251,011 × 251,011
  4. Step 4: Simplify right side
    176,161x = 63,006,522,121
  5. Step 5: Solve for x
    x = 63,006,522,121/176,161
  6. Step 6: Final answer
    x = 357,664.42

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.