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Finding the Third Proportional to 177,848.25 and 271,289.25

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Solution

The third proportional to 177,848.25 and 271,289.25 is: 413,823.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,848.25 : 271,289.25 = 271,289.25 : x
  2. Step 2: Convert to fraction form
    177,848.25/271,289.25 = 271,289.25/x
  3. Step 3: Cross multiply
    177,848.25x = 271,289.25 × 271,289.25
  4. Step 4: Simplify right side
    177,848.25x = 73,597,857,165.56
  5. Step 5: Solve for x
    x = 73,597,857,165.56/177,848.25
  6. Step 6: Final answer
    x = 413,823.90

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Why These Related Problems?

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