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Finding the Third Proportional to 174,544 and 376,936

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Solution

The third proportional to 174,544 and 376,936 is: 814,011.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,544 : 376,936 = 376,936 : x
  2. Step 2: Convert to fraction form
    174,544/376,936 = 376,936/x
  3. Step 3: Cross multiply
    174,544x = 376,936 × 376,936
  4. Step 4: Simplify right side
    174,544x = 142,080,748,096
  5. Step 5: Solve for x
    x = 142,080,748,096/174,544
  6. Step 6: Final answer
    x = 814,011.07

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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.