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Finding the Third Proportional to 140,034.50 and 215,243.50

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Solution

The third proportional to 140,034.50 and 215,243.50 is: 330,845.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,034.50 : 215,243.50 = 215,243.50 : x
  2. Step 2: Convert to fraction form
    140,034.50/215,243.50 = 215,243.50/x
  3. Step 3: Cross multiply
    140,034.50x = 215,243.50 × 215,243.50
  4. Step 4: Simplify right side
    140,034.50x = 46,329,764,292.25
  5. Step 5: Solve for x
    x = 46,329,764,292.25/140,034.50
  6. Step 6: Final answer
    x = 330,845.36

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.