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Finding the Third Proportional to 146,650.50 and 173,218.50

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Solution

The third proportional to 146,650.50 and 173,218.50 is: 204,599.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,650.50 : 173,218.50 = 173,218.50 : x
  2. Step 2: Convert to fraction form
    146,650.50/173,218.50 = 173,218.50/x
  3. Step 3: Cross multiply
    146,650.50x = 173,218.50 × 173,218.50
  4. Step 4: Simplify right side
    146,650.50x = 30,004,648,742.25
  5. Step 5: Solve for x
    x = 30,004,648,742.25/146,650.50
  6. Step 6: Final answer
    x = 204,599.70

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.