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Finding the Third Proportional to 173,674 and 378,452

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Solution

The third proportional to 173,674 and 378,452 is: 824,682.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,674 : 378,452 = 378,452 : x
  2. Step 2: Convert to fraction form
    173,674/378,452 = 378,452/x
  3. Step 3: Cross multiply
    173,674x = 378,452 × 378,452
  4. Step 4: Simplify right side
    173,674x = 143,225,916,304
  5. Step 5: Solve for x
    x = 143,225,916,304/173,674
  6. Step 6: Final answer
    x = 824,682.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.