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Finding the Third Proportional to 177,319.50 and 271,281

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Solution

The third proportional to 177,319.50 and 271,281 is: 415,032.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,319.50 : 271,281 = 271,281 : x
  2. Step 2: Convert to fraction form
    177,319.50/271,281 = 271,281/x
  3. Step 3: Cross multiply
    177,319.50x = 271,281 × 271,281
  4. Step 4: Simplify right side
    177,319.50x = 73,593,380,961
  5. Step 5: Solve for x
    x = 73,593,380,961/177,319.50
  6. Step 6: Final answer
    x = 415,032.64

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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.