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Finding the Third Proportional to 177,587.44 and 271,666.41

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Solution

The third proportional to 177,587.44 and 271,666.41 is: 415,584.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,587.44 : 271,666.41 = 271,666.41 : x
  2. Step 2: Convert to fraction form
    177,587.44/271,666.41 = 271,666.41/x
  3. Step 3: Cross multiply
    177,587.44x = 271,666.41 × 271,666.41
  4. Step 4: Simplify right side
    177,587.44x = 73,802,636,284.79
  5. Step 5: Solve for x
    x = 73,802,636,284.79/177,587.44
  6. Step 6: Final answer
    x = 415,584.78

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.