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Finding the Third Proportional to 178,044 and 271,557

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Solution

The third proportional to 178,044 and 271,557 is: 414,185.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,044 : 271,557 = 271,557 : x
  2. Step 2: Convert to fraction form
    178,044/271,557 = 271,557/x
  3. Step 3: Cross multiply
    178,044x = 271,557 × 271,557
  4. Step 4: Simplify right side
    178,044x = 73,743,204,249
  5. Step 5: Solve for x
    x = 73,743,204,249/178,044
  6. Step 6: Final answer
    x = 414,185.28

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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.