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Finding the Third Proportional to 84,530 and 178,490

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Solution

The third proportional to 84,530 and 178,490 is: 376,891.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,530 : 178,490 = 178,490 : x
  2. Step 2: Convert to fraction form
    84,530/178,490 = 178,490/x
  3. Step 3: Cross multiply
    84,530x = 178,490 × 178,490
  4. Step 4: Simplify right side
    84,530x = 31,858,680,100
  5. Step 5: Solve for x
    x = 31,858,680,100/84,530
  6. Step 6: Final answer
    x = 376,891.99

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.