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Finding the Third Proportional to 140,974 and 303,955

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Solution

The third proportional to 140,974 and 303,955 is: 655,359.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,974 : 303,955 = 303,955 : x
  2. Step 2: Convert to fraction form
    140,974/303,955 = 303,955/x
  3. Step 3: Cross multiply
    140,974x = 303,955 × 303,955
  4. Step 4: Simplify right side
    140,974x = 92,388,642,025
  5. Step 5: Solve for x
    x = 92,388,642,025/140,974
  6. Step 6: Final answer
    x = 655,359.44

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Why These Related Problems?

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