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Finding the Third Proportional to 150,974 and 330,345

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Solution

The third proportional to 150,974 and 330,345 is: 722,825.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,974 : 330,345 = 330,345 : x
  2. Step 2: Convert to fraction form
    150,974/330,345 = 330,345/x
  3. Step 3: Cross multiply
    150,974x = 330,345 × 330,345
  4. Step 4: Simplify right side
    150,974x = 109,127,819,025
  5. Step 5: Solve for x
    x = 109,127,819,025/150,974
  6. Step 6: Final answer
    x = 722,825.25

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Why These Related Problems?

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