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Finding the Third Proportional to 177,152 and 269,009

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Solution

The third proportional to 177,152 and 269,009 is: 408,495.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,152 : 269,009 = 269,009 : x
  2. Step 2: Convert to fraction form
    177,152/269,009 = 269,009/x
  3. Step 3: Cross multiply
    177,152x = 269,009 × 269,009
  4. Step 4: Simplify right side
    177,152x = 72,365,842,081
  5. Step 5: Solve for x
    x = 72,365,842,081/177,152
  6. Step 6: Final answer
    x = 408,495.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.