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Finding the Third Proportional to 108,351 and 261,034.50

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Solution

The third proportional to 108,351 and 261,034.50 is: 628,872.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,351 : 261,034.50 = 261,034.50 : x
  2. Step 2: Convert to fraction form
    108,351/261,034.50 = 261,034.50/x
  3. Step 3: Cross multiply
    108,351x = 261,034.50 × 261,034.50
  4. Step 4: Simplify right side
    108,351x = 68,139,010,190.25
  5. Step 5: Solve for x
    x = 68,139,010,190.25/108,351
  6. Step 6: Final answer
    x = 628,872.92

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.