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Finding the Third Proportional to 201,134 and 277,062.75

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Solution

The third proportional to 201,134 and 277,062.75 is: 381,654.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,134 : 277,062.75 = 277,062.75 : x
  2. Step 2: Convert to fraction form
    201,134/277,062.75 = 277,062.75/x
  3. Step 3: Cross multiply
    201,134x = 277,062.75 × 277,062.75
  4. Step 4: Simplify right side
    201,134x = 76,763,767,437.56
  5. Step 5: Solve for x
    x = 76,763,767,437.56/201,134
  6. Step 6: Final answer
    x = 381,654.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.