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Finding the Third Proportional to 177,834 and 274,146

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Solution

The third proportional to 177,834 and 274,146 is: 422,619.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,834 : 274,146 = 274,146 : x
  2. Step 2: Convert to fraction form
    177,834/274,146 = 274,146/x
  3. Step 3: Cross multiply
    177,834x = 274,146 × 274,146
  4. Step 4: Simplify right side
    177,834x = 75,156,029,316
  5. Step 5: Solve for x
    x = 75,156,029,316/177,834
  6. Step 6: Final answer
    x = 422,619.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.