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Finding the Third Proportional to 133,617 and 214,906.50

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Solution

The third proportional to 133,617 and 214,906.50 is: 345,650.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,617 : 214,906.50 = 214,906.50 : x
  2. Step 2: Convert to fraction form
    133,617/214,906.50 = 214,906.50/x
  3. Step 3: Cross multiply
    133,617x = 214,906.50 × 214,906.50
  4. Step 4: Simplify right side
    133,617x = 46,184,803,742.25
  5. Step 5: Solve for x
    x = 46,184,803,742.25/133,617
  6. Step 6: Final answer
    x = 345,650.66

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.