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Finding the Third Proportional to 174,456 and 376,544

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Solution

The third proportional to 174,456 and 376,544 is: 812,728.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,456 : 376,544 = 376,544 : x
  2. Step 2: Convert to fraction form
    174,456/376,544 = 376,544/x
  3. Step 3: Cross multiply
    174,456x = 376,544 × 376,544
  4. Step 4: Simplify right side
    174,456x = 141,785,383,936
  5. Step 5: Solve for x
    x = 141,785,383,936/174,456
  6. Step 6: Final answer
    x = 812,728.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.