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Finding the Third Proportional to 174,841 and 383,944

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Solution

The third proportional to 174,841 and 383,944 is: 843,126.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,841 : 383,944 = 383,944 : x
  2. Step 2: Convert to fraction form
    174,841/383,944 = 383,944/x
  3. Step 3: Cross multiply
    174,841x = 383,944 × 383,944
  4. Step 4: Simplify right side
    174,841x = 147,412,995,136
  5. Step 5: Solve for x
    x = 147,412,995,136/174,841
  6. Step 6: Final answer
    x = 843,126.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.