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Finding the Third Proportional to 175,932 and 376,774

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Solution

The third proportional to 175,932 and 376,774 is: 806,894.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,932 : 376,774 = 376,774 : x
  2. Step 2: Convert to fraction form
    175,932/376,774 = 376,774/x
  3. Step 3: Cross multiply
    175,932x = 376,774 × 376,774
  4. Step 4: Simplify right side
    175,932x = 141,958,647,076
  5. Step 5: Solve for x
    x = 141,958,647,076/175,932
  6. Step 6: Final answer
    x = 806,894.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.