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Finding the Third Proportional to 140,581.50 and 215,048.25

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Solution

The third proportional to 140,581.50 and 215,048.25 is: 328,960.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,581.50 : 215,048.25 = 215,048.25 : x
  2. Step 2: Convert to fraction form
    140,581.50/215,048.25 = 215,048.25/x
  3. Step 3: Cross multiply
    140,581.50x = 215,048.25 × 215,048.25
  4. Step 4: Simplify right side
    140,581.50x = 46,245,749,828.06
  5. Step 5: Solve for x
    x = 46,245,749,828.06/140,581.50
  6. Step 6: Final answer
    x = 328,960.42

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.