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Finding the Third Proportional to 178,052 and 271,569

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Solution

The third proportional to 178,052 and 271,569 is: 414,203.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,052 : 271,569 = 271,569 : x
  2. Step 2: Convert to fraction form
    178,052/271,569 = 271,569/x
  3. Step 3: Cross multiply
    178,052x = 271,569 × 271,569
  4. Step 4: Simplify right side
    178,052x = 73,749,721,761
  5. Step 5: Solve for x
    x = 73,749,721,761/178,052
  6. Step 6: Final answer
    x = 414,203.28

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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.