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Finding the Third Proportional to 178,084 and 273,846

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Solution

The third proportional to 178,084 and 273,846 is: 421,102.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,084 : 273,846 = 273,846 : x
  2. Step 2: Convert to fraction form
    178,084/273,846 = 273,846/x
  3. Step 3: Cross multiply
    178,084x = 273,846 × 273,846
  4. Step 4: Simplify right side
    178,084x = 74,991,631,716
  5. Step 5: Solve for x
    x = 74,991,631,716/178,084
  6. Step 6: Final answer
    x = 421,102.58

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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.