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Finding the Third Proportional to 173,155.50 and 276,622.50

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Solution

The third proportional to 173,155.50 and 276,622.50 is: 441,914.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,155.50 : 276,622.50 = 276,622.50 : x
  2. Step 2: Convert to fraction form
    173,155.50/276,622.50 = 276,622.50/x
  3. Step 3: Cross multiply
    173,155.50x = 276,622.50 × 276,622.50
  4. Step 4: Simplify right side
    173,155.50x = 76,520,007,506.25
  5. Step 5: Solve for x
    x = 76,520,007,506.25/173,155.50
  6. Step 6: Final answer
    x = 441,914.97

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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.