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Finding the Third Proportional to 159,493.50 and 216,702

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Solution

The third proportional to 159,493.50 and 216,702 is: 294,430.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,493.50 : 216,702 = 216,702 : x
  2. Step 2: Convert to fraction form
    159,493.50/216,702 = 216,702/x
  3. Step 3: Cross multiply
    159,493.50x = 216,702 × 216,702
  4. Step 4: Simplify right side
    159,493.50x = 46,959,756,804
  5. Step 5: Solve for x
    x = 46,959,756,804/159,493.50
  6. Step 6: Final answer
    x = 294,430.54

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.