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Finding the Third Proportional to 173,433.50 and 376,348.75

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Solution

The third proportional to 173,433.50 and 376,348.75 is: 816,672.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,433.50 : 376,348.75 = 376,348.75 : x
  2. Step 2: Convert to fraction form
    173,433.50/376,348.75 = 376,348.75/x
  3. Step 3: Cross multiply
    173,433.50x = 376,348.75 × 376,348.75
  4. Step 4: Simplify right side
    173,433.50x = 141,638,381,626.56
  5. Step 5: Solve for x
    x = 141,638,381,626.56/173,433.50
  6. Step 6: Final answer
    x = 816,672.57

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