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Finding the Third Proportional to 135,455.75 and 214,665.50

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Solution

The third proportional to 135,455.75 and 214,665.50 is: 340,194.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,455.75 : 214,665.50 = 214,665.50 : x
  2. Step 2: Convert to fraction form
    135,455.75/214,665.50 = 214,665.50/x
  3. Step 3: Cross multiply
    135,455.75x = 214,665.50 × 214,665.50
  4. Step 4: Simplify right side
    135,455.75x = 46,081,276,890.25
  5. Step 5: Solve for x
    x = 46,081,276,890.25/135,455.75
  6. Step 6: Final answer
    x = 340,194.32

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.