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Finding the Third Proportional to 178,244 and 383,368

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Solution

The third proportional to 178,244 and 383,368 is: 824,549.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,244 : 383,368 = 383,368 : x
  2. Step 2: Convert to fraction form
    178,244/383,368 = 383,368/x
  3. Step 3: Cross multiply
    178,244x = 383,368 × 383,368
  4. Step 4: Simplify right side
    178,244x = 146,971,023,424
  5. Step 5: Solve for x
    x = 146,971,023,424/178,244
  6. Step 6: Final answer
    x = 824,549.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.