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Finding the Third Proportional to 178,672 and 383,264

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Solution

The third proportional to 178,672 and 383,264 is: 822,128.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,672 : 383,264 = 383,264 : x
  2. Step 2: Convert to fraction form
    178,672/383,264 = 383,264/x
  3. Step 3: Cross multiply
    178,672x = 383,264 × 383,264
  4. Step 4: Simplify right side
    178,672x = 146,891,293,696
  5. Step 5: Solve for x
    x = 146,891,293,696/178,672
  6. Step 6: Final answer
    x = 822,128.22

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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.