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Finding the Third Proportional to 178,038 and 271,548

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Solution

The third proportional to 178,038 and 271,548 is: 414,171.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,038 : 271,548 = 271,548 : x
  2. Step 2: Convert to fraction form
    178,038/271,548 = 271,548/x
  3. Step 3: Cross multiply
    178,038x = 271,548 × 271,548
  4. Step 4: Simplify right side
    178,038x = 73,738,316,304
  5. Step 5: Solve for x
    x = 73,738,316,304/178,038
  6. Step 6: Final answer
    x = 414,171.79

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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.