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Finding the Third Proportional to 108,958.50 and 237,214.50

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Solution

The third proportional to 108,958.50 and 237,214.50 is: 516,441.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,958.50 : 237,214.50 = 237,214.50 : x
  2. Step 2: Convert to fraction form
    108,958.50/237,214.50 = 237,214.50/x
  3. Step 3: Cross multiply
    108,958.50x = 237,214.50 × 237,214.50
  4. Step 4: Simplify right side
    108,958.50x = 56,270,719,010.25
  5. Step 5: Solve for x
    x = 56,270,719,010.25/108,958.50
  6. Step 6: Final answer
    x = 516,441.76

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.