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Finding the Third Proportional to 173,158.50 and 276,627

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Solution

The third proportional to 173,158.50 and 276,627 is: 441,921.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,158.50 : 276,627 = 276,627 : x
  2. Step 2: Convert to fraction form
    173,158.50/276,627 = 276,627/x
  3. Step 3: Cross multiply
    173,158.50x = 276,627 × 276,627
  4. Step 4: Simplify right side
    173,158.50x = 76,522,497,129
  5. Step 5: Solve for x
    x = 76,522,497,129/173,158.50
  6. Step 6: Final answer
    x = 441,921.69

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.