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Finding the Third Proportional to 174,542 and 376,932

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Solution

The third proportional to 174,542 and 376,932 is: 814,003.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,542 : 376,932 = 376,932 : x
  2. Step 2: Convert to fraction form
    174,542/376,932 = 376,932/x
  3. Step 3: Cross multiply
    174,542x = 376,932 × 376,932
  4. Step 4: Simplify right side
    174,542x = 142,077,732,624
  5. Step 5: Solve for x
    x = 142,077,732,624/174,542
  6. Step 6: Final answer
    x = 814,003.12

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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.