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Finding the Third Proportional to 173,612 and 376,756

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Solution

The third proportional to 173,612 and 376,756 is: 817,599.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,612 : 376,756 = 376,756 : x
  2. Step 2: Convert to fraction form
    173,612/376,756 = 376,756/x
  3. Step 3: Cross multiply
    173,612x = 376,756 × 376,756
  4. Step 4: Simplify right side
    173,612x = 141,945,083,536
  5. Step 5: Solve for x
    x = 141,945,083,536/173,612
  6. Step 6: Final answer
    x = 817,599.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.