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Finding the Third Proportional to 140,979 and 303,962.25

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Solution

The third proportional to 140,979 and 303,962.25 is: 655,367.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,979 : 303,962.25 = 303,962.25 : x
  2. Step 2: Convert to fraction form
    140,979/303,962.25 = 303,962.25/x
  3. Step 3: Cross multiply
    140,979x = 303,962.25 × 303,962.25
  4. Step 4: Simplify right side
    140,979x = 92,393,049,425.06
  5. Step 5: Solve for x
    x = 92,393,049,425.06/140,979
  6. Step 6: Final answer
    x = 655,367.46

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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.