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Finding the Third Proportional to 140,688.56 and 308,059.03

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Solution

The third proportional to 140,688.56 and 308,059.03 is: 674,542.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,688.56 : 308,059.03 = 308,059.03 : x
  2. Step 2: Convert to fraction form
    140,688.56/308,059.03 = 308,059.03/x
  3. Step 3: Cross multiply
    140,688.56x = 308,059.03 × 308,059.03
  4. Step 4: Simplify right side
    140,688.56x = 94,900,366,734.69
  5. Step 5: Solve for x
    x = 94,900,366,734.69/140,688.56
  6. Step 6: Final answer
    x = 674,542.16

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.