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Finding the Third Proportional to 146,619 and 228,682.50

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Solution

The third proportional to 146,619 and 228,682.50 is: 356,677.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,619 : 228,682.50 = 228,682.50 : x
  2. Step 2: Convert to fraction form
    146,619/228,682.50 = 228,682.50/x
  3. Step 3: Cross multiply
    146,619x = 228,682.50 × 228,682.50
  4. Step 4: Simplify right side
    146,619x = 52,295,685,806.25
  5. Step 5: Solve for x
    x = 52,295,685,806.25/146,619
  6. Step 6: Final answer
    x = 356,677.41

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.