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Finding the Third Proportional to 140,695.50 and 307,219.50

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Solution

The third proportional to 140,695.50 and 307,219.50 is: 670,837.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,695.50 : 307,219.50 = 307,219.50 : x
  2. Step 2: Convert to fraction form
    140,695.50/307,219.50 = 307,219.50/x
  3. Step 3: Cross multiply
    140,695.50x = 307,219.50 × 307,219.50
  4. Step 4: Simplify right side
    140,695.50x = 94,383,821,180.25
  5. Step 5: Solve for x
    x = 94,383,821,180.25/140,695.50
  6. Step 6: Final answer
    x = 670,837.53

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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.