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Finding the Third Proportional to 140,973.75 and 303,953.25

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Solution

The third proportional to 140,973.75 and 303,953.25 is: 655,353.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,973.75 : 303,953.25 = 303,953.25 : x
  2. Step 2: Convert to fraction form
    140,973.75/303,953.25 = 303,953.25/x
  3. Step 3: Cross multiply
    140,973.75x = 303,953.25 × 303,953.25
  4. Step 4: Simplify right side
    140,973.75x = 92,387,578,185.56
  5. Step 5: Solve for x
    x = 92,387,578,185.56/140,973.75
  6. Step 6: Final answer
    x = 655,353.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.