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Finding the Third Proportional to 177,336 and 273,852

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Solution

The third proportional to 177,336 and 273,852 is: 422,897.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,336 : 273,852 = 273,852 : x
  2. Step 2: Convert to fraction form
    177,336/273,852 = 273,852/x
  3. Step 3: Cross multiply
    177,336x = 273,852 × 273,852
  4. Step 4: Simplify right side
    177,336x = 74,994,917,904
  5. Step 5: Solve for x
    x = 74,994,917,904/177,336
  6. Step 6: Final answer
    x = 422,897.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.